According to a poll by USA Today/Gallup, 51 per cent of the respondents agreed with Obama's new position on same-sex marriage, which he announced on Wednesday.
While 45 per cent of the respondents disapproved the decision, 60 per cent said that his shift in position will not affect how they vote in the November election, USA Today reported.
Nearly 13 per cent said his changed stance will make them more likely to vote for him compared with 26 per cent who said this will make them less likely.
The poll was conducted through telephone interviews among a random sample of 1,013 adults in Washington and the 50 states.
Obama, who was earlier opposed to gay marriages, had described the shift during a campaign fundraiser on Thursday as a "logical extension of what America is supposed to be."