The law took effect on Jan 1, 2010, making New Hampshire the fifth U.S. state, plus the District of Columbia, to allow same-sex marriages.
But when Republicans took control of New Hampshire's state legislature in the November 2010 elections, curiosity swirled over whether controversial social issues like gay marriage and abortion rights would get another airing.
Conservative groups have since vowed to attempt to repeal the same-sex marriage law.
In the poll, however, more than half of the respondents, 51 percent, said they "strongly oppose" repeal, against 24 percent who strongly supported such a move.