Wozniak served as a naval aviator during World War II.

Wozniak was elected to the Minnesota House of Representatives in 1951, a position he would hold for 14 years.

Described as a "maverick Democratic-Farmer-Labor Party activist," Wozniak would later serve in the foreign service for President Lyndon Johnson.

Wozniak was appointed as one of the first judges on the newly created Minnesota Court of Appeals in 1982.

Wozniak held the position until 1992, when he resigned due to reaching the state's mandatory retirement age.