Tönnes Björkman (25 March 1888 – 21 November 1959) was a Swedish sport shooter who competed in the 1912 Summer Olympics.In 1912 he won the bronze medal as member of the Swedish team in the team military rifle competition.
In the 1912 Summer Olympics he also participated in the following events:
300 metre free rifle, three positions - eighth place
300 metre military rifle, three positions - 14th place
600 metre free rifle - 25th place