He was the radio and TV voice of the Washington Senators from 1947 to 1960, continuing with the team when they relocated and became the Minnesota Twins in 1961.

Wolff served in the U.S. Navy as a supply officer in the Pacific during World War II, ending his service as a lieutenant.

His son Rick Wolff was an author, radio host for WFAN, and former baseball player and coach.

Seen and heard on two ESPN TV specials in 2008, he had been on the Madison Square Garden Network since 1954 and on Cablevision's News 12 Long Island since 1986.

Wolff became known regionally as television's play-by-play voice for eight teams in five different sports – the New York Knicks and Detroit Pistons of the NBA as well as the New York Rangers of the NHL, the Washington Senators/Minnesota Twins of MLB, the Baltimore Colts, Washington Redskins and Cleveland Browns of the NFL, and soccer's Tampa Bay Rowdies of the initial North American Soccer League.

In addition to broadcasting Don Larsen's perfect World Series game and the Colts' first overtime championship title win over the New York Giants, Wolff called Jackie Robinson's last major league hit that won Game 6 of the 1956 World Series.