Ulf "Uffe" Christian Johan Schmidt (born 12 July 1934) is a former Swedish tennis player.

He won 14 singles' tournaments, among them the International Swedish Championships in Båstad in 1957 and 1961.

In 1958 he and Sven Davidson won the doubles event in Wimbledon after defeating the top seeds Ashley Cooper and Neale Fraser in the final.

His best singles result at a Grand Slam tournament was reaching the semifinal at the 1958 U.S. National Championships.

Schmidt was unseeded and defeated third-seeded Ham Richardson in the fourth round before losing to first-seeded Mal Anderson in the semifinal.