Greene attended Holy Cross after a
starry career at Loyola High in Baltimore where in 1954 he was
selected the outstanding high school player in Maryland. An
outstanding two-sport star in football and lacrosse, he was
honored All-New England in both sports. He is perhaps better
remembered for his performance on the gridiron, although he
excelled in lacrosse as well.
In football, he helped direct Holy Cross to a 7-0 victory over Boston College as a sophomore. After the game he was honored with the O'Melia Award for his outstanding performance in the rivalry game. In his three years, he was among the nation's leaders in total offense. He was also featured on the cover of the 1958 NCAA guide, the first player in the East to be so honored. He also helped put lacrosse on the map at Holy Cross, leading the Crusaders to a 7-3 finish in 1958, the first year it was recognized as a varsity sport on campus. He played in the North-South game that year.
He also won the Frazier Trophy twice as the most outstanding player in two straight victories over Syracuse, the last two wins for HC in the series. After he graduated, he played for the Boston Patriots in 1960 and the Dallas Texans in 1961.