He played for the Wisconsin Badgers. In his freshman year at Wisconsin, Stemke set the team punting record, averaging 43.9 yards per punt. In his sophomore year, he made the first-team in the Big Ten Conference. His senior year, Stemke broke his own school record, averaging 44.5 yards per punt, also the third-best in the nation. His 42.5 net yards was top in the United States, and received the first Ray Guy Award for the nation's top punter. Up until 2022, Stemke still held the Wisconsin records for highest punting average (43.5 yards) and total punting yards (10,660).[3]
The Raiders signed Stemke in August 2002,[5]
where he played in two games before being cut. Stemke was signed by the Dolphins in January 2003,[6] who in turn allocated him to the Scottish Claymores of NFL Europe,[7] but waived him prior to the start of the NFL regular season.[8] The Redskins cut Stemke in August 2004.[9]
Stemke was signed as a free agent by the St. Louis Rams in November 2004 to replace Sean Landeta.[10] He was released before the start of the 2005 season in favor of Reggie Hodges.
After football
As of 2008, Stemke worked as director of business development for Replay Photos.[11]
The Kevin Stemke Award is presented annually to the Wisconsin high school senior kicker/punter.[3]