The poll contrasts with a Pew Research Center poll last week, which showed Republicans and Democrats getting about an equal share of the blame -- 39 percent for the GOP and 36 percent for Democrats.
In the Pew poll, however, the choice was between Democrats and Republicans, rather than Obama and Republicans.
Another poll last week, from a Democratic pollster, offered all three options -- the GOP, Democrats and Obama -- and found Democrats (29 percent) and Obama (12) actually combined for more blame than the GOP (35).
The CNN poll also asked whether people thought each party was acting like "spoiled children" or "responsible adults." Nearly seven in 10 (69 percent) said the congressional GOP is acting like spoiled children, while about six in 10 (58 percent) said the same of Democrats.
Forty-seven percent said the same of Obama, while 49 percent said he's acting like a responsible adult.
Congress has until midnight tonight to avoid a shutdown.