Levy's rugby league career started at the Patrician Brothers' College, Fairfield. He was a Parramatta junior but made his debut for Balmain in 1974. Levy spent two years at Balmain with the club finishing between mid and lower table. In 1976, Levy signed with Parramatta as the club qualified for the first grand final in its history against Manly. In the grand final itself, Parramatta went into half time level with Manly at 7-7. In the second half and with 10 minutes remaining, Parramatta made a play to the right hand side of the field and the ball eventually reached Neville Glover. With the try line wide open, Glover dropped the ball over the line which would have given Parramatta the match winning try. In the final five minutes Manly held on after a Parramatta onslaught to win the premiership 13-10.
The following year, Levy was a member of the Parramatta side which claimed their first minor premiership after finishing first during the regular season. Parramatta qualified for their second consecutive grand final that year against St George. Levy was moved from fullback to five-eighth for that match due to John Peard being injured. The grand final finished in a 9-9 draw and a replay was rescheduled to determine the winner. In the 1977 replay, Levy shifted to fullback as Peard had returned, and Parramatta were defeated 22-0. Levy played with Parramatta up until the end of 1980 when he was told by coach Jack Gibson he was not required for the 1981 season.
Levy later moved to Penrith where he played more than 100 games, and was a member of the 1985 side which qualified for the finals for the first time in the club's history.[3][4][5]