One Million Moms, a website run by conservative Christian group American Family Association, said the Geico ad shows Maxwell the Geico pig parked in a car with a woman and "the girl appears to be turned on by the pig."
"She hints that she wants to make out. She is disappointed when she learns the tow truck is on the way and they won't be able to 'pass the time,'" the website said.
One Million Moms said the commercial is offensive because it "plays with the idea of bestiality."
The website called upon those offended by the ad to "let Geico know their new ad is irresponsible."
2014: The Year in Music [PHOTOS]