Stephen Andrew Mura (born February 12, 1955) is an American retired Major League Baseball player.

A pitcher, Mura played from 1978-1985 with the San Diego Padres, St. Louis Cardinals, Chicago White Sox, and Oakland Athletics.

He was a member of the Cardinals' 1982 World Series winning team.

Mura played college baseball at Tulane University from 1974 to 1976.

This biographical article relating to an American baseball pitcher born in the 1950s is a stub.