The men's double American round event was part of the archery programme at the 1904 Summer Olympics.

[2] A day later, the same three men in the same order would medal in the other 1904 Olympic archery event, the double York round.

[3] The 1904 Olympic archery events were part of the 26th Grand Annual Target Meeting of the National Archery Association, with competition open to international competitors, although none entered this event.

Five men each hit all 60 targets at 40 yards, splitting the point for that category five ways (0.2 each).

The three other men who had shared in that 40-yard hits point placed third through fifth, with ties broken by score to give Thompson the bronze medal.