	On December 10, 1947, Kozar was traded to the Washington Senators along with Leon Culberson in exchange for Stan Spence. Kozar made his Major League debut with the Senators on April 19, 1948, at Griffith Stadium, going 1–for–4 against the New York Yankees. Kozar played for the Senators until 1950, when he was traded on May 31 to the Chicago White Sox along with Eddie Robinson and Ray Scarborough, in exchange for Bob Kuzava, Cass Michaels and Johnny Ostrowski. Kozar continued to play in the minor leagues until 1954, and died on September 6, 2007, in Palm Beach Gardens, Florida.