Source: Major L.F. Ellis, Victory in the West, Volume I (History of the Second World War, United Kingdom Military Series).

Caveat: Ellis provides no sources for his numbers (including American casualties) and are suspect. His Canadian colleague, Colonel C.P. Stacey, raised an eyebrow over statistics in British official histories. See his D-Day casualty estimates. It's odd that Ellis does not seem to have consulted Stacey whose official history, Victory Campaign,  was published two years before.

For American guesswork, see casualty figure bookmark in "Cross-Channel Attack" excerpts.

For numbers for the two assault regiments on Omaha beach, see 29th Division casualties and 16th Regiment casualties.

SOME FIGURES FOR D-DAY

The British and Canadian casualties among troops landed from the sea bare believed to have been in the region of three thousand, of whom about a third were Canadians. So far as can be ascertained casualties to airborne troops by the end of the day were about six hundred killed and wounded and about the same number missing; in addition nearly a hundred glider pilots were killed, wounded or missing. The total American casualties on this day in both airborne and seaborne assaults amounted to approximately six thousand.

A full measure of success was due to the hundreds of thousands of men and women in all three Services whose work in Great Britain lay behind the day's operations, and to the still greater number of those in civil employment who had laboured unceasingly in shipyards and factories, in workshops and offices to prepare and equip these forces. This cannot be shown by statistics.

In naval operations over a hundred and ninety thousand men were engaged afloat on this day. The above approximate figures are based on Admiralty records and reports of Force Commanders which are not, however, always complete.

In air operations during the night of June the 5th and on D-day, Allied aircraft of all types had flown over fourteen thousand sorties. For that huge total a hundred and twenty-seven aircraft had been lost and sixty-three damaged.

Of the Allied armies, over a hundred and thirty thousand men were landed from the sea on D-day as nearly as can be calculated. Their distribution along the Normandy shore was approximately as follows:

In addition, over twenty-three thousand airborne troops were landed by the Allied air forces. The records are not complete but, including glider pilots, their approximate numbers appear to have been 7,900 British and 15,500 American. Thus in spite of the Atlantic Wall over a hundred and fifty-six thousand men had been landed in France during the first day of the campaign.