Obama also leads Romney by 52 percent to 43 overall, according to the new survey by CNN/ORC International. Obama's lead contrasts with national polls last week by Gallup and Fox News that show Romney leading Obama. Those poll results are within the respective margins of error.

Among women, Obama beats the GOP’s presumptive presidential nominee by 16 points, with 55 percent to 39, according to CNN's poll. The women surveyed saw Obama as “more in touch with the problems facing American women today” by a two-to-one margin.

Polls earlier this month show Obama leading Romney among women by 18 to 19 points. Romney’s campaign recently sought to sway female support toward their candidate by linking comments made by veteran Democratic strategist Hilary Rosen about Ann Romney to Obama’s campaign. Rosen accused Romney of using his wife, who had “never worked a day in her life,” as an “economic surrogate," resulting in heated controversy last week over stay-at-home moms.

CNN’s survey was taken two days after Rosen’s comments, and the results indicate Romney did not win much ground among women.

Obama also leads 48 percent to 43 over Romney among independent voters.

The survey also polled for individual qualities in the two candidates, with Obama pulling away from Romney in perceived likeability, honesty, confidence, values, leadership and likelihood to change positions for political reasons. But the poll found voters equally divided when asked which candidate can best tackle economic issues.

"Obama and Romney are essentially tied on who is more likely to get the economy moving again, and that may provide Romney an opening to chip away at Obama's current overall lead," according to CNN Polling Director Keating Holland.

The poll’s margin of error is 3 percentage points.