Total Motile Sperm Count (TMSC) Calculator

Volume × concentration × progressive motility ÷ 100 — one number instead of three, and a better predictor of spontaneous pregnancy than the WHO categories. This page also says which published threshold belongs to which question, because the figures in circulation answer three different ones.

Last updated 17 Sep 2026

Total motile sperm count

3 inputs → million motile sperm

Semen volume (mL)The whole ejaculate, weighed or measured after liquefaction. The WHO 2021 lower reference limit is 1.4 mL. An incomplete collection lowers all three inputs at once, so ask whether any was spilt before reading a low result.

Sperm concentration (million/mL)Concentration, not total count — the calculation multiplies it by volume to get the total. The WHO 2021 lower reference limit is 16 million/mL.

Progressive motility (%)Progressive motility only, the WHO grade a plus grade b fraction — not total motility, which includes non-progressive sperm that will not reach an oocyte. The WHO 2021 lower reference limit is 30%. Enter the pre-wash figure from the native sample unless you specifically want a post-wash count.

18.7million motile spermExample

Volume 2.5 mL, concentration 22 million/mL, progressive motility 34%

Formula

TMSC = volume (mL) × concentration (million/mL) × progressive motility (%) ÷ 100

volume: the whole ejaculate in millilitres. A spilt or incomplete collection is the commonest avoidable cause of a low TMSC
concentration: million per millilitre. Multiplied by volume this gives the total sperm number, which is the quantity the 39 million WHO limit refers to
progressive motility: the percentage moving progressively — WHO grades a and b. Hamilton’s original definition is explicit: the TMSC is the volume multiplied by the density and the percentage of A and B motility spermatozoa. Using total motility instead inflates the answer by including sperm that twitch in place
÷ 100: converts the percentage to a fraction. The answer is in millions of progressively motile sperm in the whole ejaculate
pre-wash or post-wash: the same arithmetic on two different samples, and the thresholds are not interchangeable. Hamilton’s prognostic groups and Van Voorhis’s insemination figures are pre-wash; a post-wash or inseminating count is measured on the prepared specimen and is lower. Know which one you are holding

Worked example

Volume 2.5 mL, concentration 22 million/mL, progressive motility 34%
2.5 × 22 = 55 million sperm in the ejaculate
55 × 34 ÷ 100 = 18.7 million progressively motile sperm
Every input is above its WHO 2021 lower reference limit — volume 2.5 against 1.4 mL, concentration 22 against 16 million/mL, progressive motility 34% against 30%
The total count, 55 million, is also above the 39 million limit
And the TMSC still falls in Hamilton's middle prognostic group rather than the best one, because three limits at the fifth centile multiply to a TMSC well below 20 million
That is the arithmetic the single number exists to make visible

Which threshold answers which question

These are four different studies answering four different questions, and the commonly repeated “above 20, 5 to 20, below 5” banding belongs to the first one — spontaneous conception — not to insemination suitability. Quoting it as an IUI rule attributes to Hamilton something Hamilton did not measure.
Figure	Pre- or post-wash	The question it answers	Source
Above 20 · 5 to 20 · below 5 million	Pre-wash	How likely is a spontaneous ongoing pregnancy in a couple managed expectantly — not suitability for insemination	Hamilton, Hum Reprod 2015;30(5):1110–1121, 1,177 infertile couples
Below 10 million	Ejaculate (pre-wash)	Is IVF with ICSI more cost-effective than insemination in this clinic — 1.5% pregnancy per first IUI cycle below 10 million, 10.5% at 10 to 30, 12.0% above 30	Van Voorhis, Fertil Steril 2001;75(4):661–668
Below 2 million	Pre-wash	Is insemination futile — no clinical pregnancies below 2 million in 1,154 first cycles; above it, pregnancy and live-birth rates were equivalent	Gordon, J Assist Reprod Genet 2022;39(12):2811–2818
No number	—	What does the guideline say — only that a low count on repeated analyses makes reduced insemination success worth discussing and ART worth considering	AUA/ASRM male infertility guideline, 2020, amended 2024

WHO 2021 sixth-edition lower reference limits — what they are and are not

Read against the semen analysis interpreter, which classifies a full analysis against these limits. The WHO manual’s own position, in the sixth edition: the lower fifth percentile of a distribution of sperm values does not represent a cut-off limit between fertile and infertile men.
Parameter	Lower reference limit	What that limit is
Semen volume	1.4 mL	The 5th centile of men whose partners conceived within 12 months
Sperm concentration	16 million/mL	The 5th centile of the same reference population
Total sperm number	39 million per ejaculate	Volume × concentration, at the 5th centile
Total motility	42%	Progressive plus non-progressive
Progressive motility	30%	The figure this calculator uses
Normal forms	4.0%	Strict morphology
Total motile sperm count	No WHO limit	TMSC is not a WHO parameter and has no WHO reference limit. Its thresholds come from outcome studies, which is why they disagree

One number, and the reference limits it is not

A semen analysis hands a clinician three numbers that all mean the same thing in different units — a volume, a concentration and a motility — and asks them to hold all three in mind at once. The total motile sperm count collapses them into one: multiply the volume by the concentration to get the total number of sperm in the ejaculate, then take the progressively motile fraction of that. Hamilton and colleagues showed in 1,177 infertile couples that this single figure correlated better with the rate of spontaneous ongoing pregnancy than the WHO classification system did, which is a reasonable claim to usefulness: three parameters each at the fifth centile multiply to a TMSC that is nowhere near the fifth centile, and the WHO categories cannot see that.

The awkward part is what the thresholds mean. Three figures circulate — above 20 million, 5 to 20 million, below 5 million — and they are very often presented as bands of suitability for intrauterine insemination. They are not. They are Hamilton’s three prognostic groups for spontaneous ongoing pregnancy in couples not receiving treatment, and attributing an insemination rule to them misstates what was measured. The figures that are about insemination are different numbers from different studies: Van Voorhis found a 1.5% pregnancy rate per first insemination cycle when the ejaculate TMSC was under 10 million, against 10.5% between 10 and 30 million and 12.0% above 30 million, and concluded that below 10 million IVF with ICSI was more cost-effective than insemination in that clinic. Gordon and colleagues, in 1,154 first cycles, found no clinical pregnancies at all below a pre-wash total motile count of 2 million and equivalent pregnancy and live-birth rates above it. And the AUA/ASRM guideline gives no numeric threshold whatsoever — only that a low count on repeated analyses makes it worth discussing that insemination success may be reduced and assisted reproduction considered. Three questions, three answers, and a fourth body declining to give one.

The other distinction that matters is pre-wash against post-wash. The same arithmetic applied to the native ejaculate and to the prepared specimen gives two different numbers, and the second is always lower. Hamilton’s prognostic groups and Van Voorhis’s figures are pre-wash; a report that says “inseminating count” or “post-wash TMC” is describing the prepared sample. Comparing one against the other’s threshold is a straightforward category error and it happens routinely.

Which brings us to the WHO limits, and to the sentence that is the real reason a page like this should exist. The sixth-edition figures — 1.4 mL, 16 million/mL, 39 million total, 42% total motility, 30% progressive motility, 4.0% normal forms — are the fifth centiles of men whose partners conceived within twelve months. They are a description of a fertile population, not a pass mark. Five per cent of men who fathered a child inside a year fall below each one by construction; a man below several of them can and does conceive without help, and a man comfortably above all of them can be infertile, because the analysis says nothing about DNA fragmentation, acrosome function, sperm-oocyte binding or the female partner. The AUA/ASRM guideline states it flatly: semen parameter values falling above or below the lower limit do not by themselves predict either fertility or infertility. And because semen parameters vary enormously within one man from week to week, none of this should be acted on from a single sample — the guideline asks for at least two analyses obtained a month apart, particularly when the first is abnormal. Read the whole analysis against the WHO limits first, then use this number for the question the outcome studies actually answered.

Frequently asked questions

How is total motile sperm count calculated?

Multiply the semen volume in millilitres by the sperm concentration in million per millilitre, then by the progressive motility as a percentage, and divide by 100. A 2.5 mL sample at 22 million/mL with 34% progressive motility gives 18.7 million progressively motile sperm. Use progressive motility, not total motility — non-progressive sperm do not reach an oocyte.

What is a good total motile sperm count?

There is no WHO reference limit for TMSC, because it is not a WHO parameter. Hamilton and colleagues found the best spontaneous-pregnancy prognosis above 20 million pre-wash, intermediate between 5 and 20 million, and poorest below 5 million, in couples managed expectantly. Those are prognostic groups for natural conception, not thresholds for treatment.

What TMSC is needed for IUI?

No guideline sets a figure. The AUA/ASRM guideline says only that a low count on repeated analyses makes reduced insemination success worth discussing. The published outcome studies give different numbers for different questions: Van Voorhis found insemination pregnancy rates of 1.5% per first cycle below an ejaculate TMSC of 10 million against 10.5% above it, and Gordon found no clinical pregnancies below a pre-wash count of 2 million.

Are the WHO 2021 limits a pass mark?

No. They are the fifth centiles of men whose partners conceived within twelve months, so five per cent of demonstrably fertile men fall below each one by construction. A man below the limits can conceive and a man above them can be infertile. The AUA/ASRM guideline puts it directly: semen parameter values above or below the lower limit do not by themselves predict either fertility or infertility.

Should the TMSC be pre-wash or post-wash?

Both are used and they are not interchangeable. The pre-wash count is calculated on the native ejaculate and is the figure Hamilton’s prognostic groups and Van Voorhis’s insemination data refer to. A post-wash or inseminating count is measured on the prepared specimen and is lower. Check which your report gives before comparing it to any published threshold.

Is one semen analysis enough?

Usually not. Semen parameters fluctuate substantially within the same man from sample to sample, so the AUA/ASRM guideline asks for at least two analyses obtained a month apart, particularly when the first has abnormal parameters. Confirm also that the collection was complete and reached the laboratory promptly — a spilt sample lowers volume, concentration and TMSC together.

Related calculators

References

Hamilton JAM, Cissen M, Brandes M, et al. Total motile sperm count: a better indicator for the severity of male factor infertility than the WHO sperm classification system. Hum Reprod. 2015;30(5):1110–1121. doi:10.1093/humrep/dev058 — “The TMSC is obtained by multiplying the sample volume by the density and the percentage of A and B motility spermatozoa”; three prognostic groups for spontaneous ongoing pregnancy at TMSC below 5, 5 to 20 and above 20 million, in 1,177 infertile couples.
Van Voorhis BJ, Barnett M, Sparks AET, Syrop CH, Rosenthal G, Dawson J. Effect of the total motile sperm count on the efficacy and cost-effectiveness of intrauterine insemination and in vitro fertilization. Fertil Steril. 2001;75(4):661–668 — 1.5% pregnancy per first IUI cycle below 10 million, 10.5% at 10–30 million, 12.0% above 30 million; IVF pregnancy rates did not vary with sperm count.
Gordon CE, Hammer K, James K, et al. Optimizing pregnancy outcomes in intrauterine insemination cycles by stratifying pre-wash total motile count and patient-specific factors: a patient counseling tool. J Assist Reprod Genet. 2022;39(12):2811–2818. doi:10.1007/s10815-022-02636-4 — no clinical pregnancies below a pre-wash total motile count of 2 million in 1,154 first cycles.
World Health Organization. WHO Laboratory Manual for the Examination and Processing of Human Semen. 6th edn. Geneva: WHO; 2021 — one-sided lower reference limits (5th centiles): volume 1.4 mL, concentration 16 million/mL, total sperm number 39 million, total motility 42%, progressive motility 30%, normal forms 4.0%.
Schlegel PN, Sigman M, Collura B, et al. Diagnosis and treatment of infertility in men: AUA/ASRM guideline (2020, amended 2024) — “Semen parameter values falling above or below the lower limit do not by themselves predict either fertility or infertility”; “at least two SAs obtained a month apart are important to consider, especially if the first SA has abnormal parameters”; no numeric TMSC threshold is given.

Medical Disclaimer: The tools and content provided here are for educational and reference purposes only. They are not intended to substitute for professional medical advice, diagnosis, or treatment. Clinical decisions should always be based on the comprehensive assessment of a qualified healthcare professional.