Boston on Wednesday approved a public event application and parade route for a Straight Pride Parade, whose organizers plan to celebrate what they view as America’s “oppressed majority” — heterosexuals.

A city official said the application was a major step toward an official parade permit, which also requires the consent of the Boston Police Department. But the police said there appeared to be no major hurdle for the event.

The parade organizers — a group called Super Happy Fun America, whose slogan is “it’s great to be straight” — celebrated on Wednesday at a news conference, where they denied that their event was anti-gay or intended to mock L.G.B.T. Pride.

“I agree it is unusual to have something like this, but a lot of things seem unpopular at first but then they become mainstream,” John Hugo, the president of Super Happy Fun America, said at the news conference. “We don’t hate anyone, we just want to have our own celebration just like everybody else has a right to. All people from all communities are welcome as long as they show respect.”