Conny Falk (born 30 November 1966) is a former professional tennis player from Sweden.

Born in Stockholm, Falk began competing on the professional tour in 1985.

He appeared in the main draw of the Madrid Tennis Grand Prix in 1988, but competed mostly on the Challenger circuit.

While on a visit to the University of Miami in 1988 to see his friend Johan Donar, Falk enquired in the tennis office about the possibility of a scholarship.

One was available as Francisco Montana had dropped out at the last minute and Falk joined the university, where he became a three-time All-American and NCAA semi-finalist.