Theodorus "Theo" Johannes Franciscus Brokmann (19 September 1893 – 28 August 1956) was a Dutch footballer who played for Steeds Voorwaarts in the Derde Klasse, and then for Ajax where he played from 1912 to 1925 scoring 78 goals in 175 matches.
He also made one appearance for the Netherlands national team where he became the first Ajax player to ever score for the Dutch national team in 1919.
Brokmann was born in Amsterdam, North Holland.
He was the father of Theo Brokmann Jr., who also played for Ajax and for the Netherlands national team.