Sharman was drafted by the Washington Capitols in the 2nd round of the 1950 NBA draft. Following the disbanding of the Capitols, he was selected by the Fort Wayne Pistons in the dispersal draft and was subsequently traded to the Boston Celtics (with Bob Brannum) for Chuck Share prior to the 1951–52 season. Sharman played a total of ten seasons for the Celtics, leading the team in scoring between the 1955–56 and 1958–59 seasons and averaging over 20 points per game during three of them.