A strong majority of Americans back President Obama's plan to withdrawal troops in Iraq, according to a new CNN/Opinion Research poll.

Seven out of ten respondents supported Obama's plan to remove most troops from Iraq by August and keep 35,000 to 50,000 troops in the country as a residual force.

"Obama's troop withdrawal plan is one of the few proposals from the new president that wins support from Democrats and Republicans," CNN Polling Director Keating Holland said. "58 percent of Republicans approve of Obama's plan, with 84 percent of Democrats feeling the same way."

Nearly two-thirds of respondents also said they approve of how Obama is handling the war.

There was a margin of error of plus or minus 3 percentage points in the poll.