The poll by NBC New York, the Wall Street Journal and Marist College found 19 percent of New Yorkers felt the gun law didn't go far enough.
Director of the Marist Institute for Public Opinion Lee Miringoff says opposition to the law upstate effected the Governors approval numbers.
Overall, 56 percent felt Cuomo was doing a good or excellent job. That's down from 59 percent in October.
Thursday's poll questioned 814 adults Feb. 26 to Feb. 28, shortly after the new gun law was enacted. It has a margin of error of 3.4 percentage points.