President Barack Obama came out on top of Republican rival Mitt Romney in a new poll of Granite State voters.

The president received 51 percent support from those registered to vote in New Hampshire to Romney's 43 percent, according to an American Research Group poll released Monday.

Obama held an advantage over Romney in the competitive state among independent voters, 62 percent to 31 percent and women 58 percent to 34 percent. Romney led Obama among men, 52 percent to 44 percent.

Despite his lead over Romney, only 46 percent of registered voters in the state approved of his overall job as president, while 48 percent disapproved.

Obama captured the state in 2008 with 54.3 percent of the vote to Sen. John McCain's 44.8 percent and has consistently held an advantage over Romney in state-wide polling during this election cycle.

New Hampshire, with its four electoral votes, is rated as a battleground state on CNN's Electoral Map.

American Research Group surveyed 534 registered voters in the state between June 21 and June 24 with a sampling error of plus or minus 4.2 percentage points.