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"Barack ObamaBarack ObamaFox News host promoted by Trump calls on Paul Ryan to step down Dan Rather: Failure to repeal ObamaCare most 'staggering loss' so early in a term Pence: Trump 'won't rest' until ObamaCare repealed MORE says he saved the auto industry. But for who? Ohio or China?" the voice-over in the ad, which has been airing in Ohio, says.

Both the Obama campaign and Chrysler have strongly criticized the ad's assertion. On Tuesday, General Motors joined the Obama campaign in objecting to ad.

"We've clearly entered some parallel universe during these last few days," GM spokesman Greg Martin told The Hill. "No amount of campaign politics at its cynical worst will diminish our record of creating jobs in the U.S. and repatriating profits back to this country."

A recent EPIC-MRA poll sponsored by the Detroit Free Press showed Obama leading Romney in Michigan, 52 percent to 46 percent.