Washington (CNN) President Donald Trump says he is not a feminist because he's not solely supportive of women, but rather of all people.

"No, I wouldn't say I'm a feminist," Trump told British journalist Piers Morgan when asked if he considers himself a feminist during an interview with British broadcaster ITV that aired Sunday. "That would be, maybe, going too far."

"I'm for women. I'm for men. I'm for everyone. I think people have to go out ... and they have to win," Trump said. "And women are doing great, and I'm happy about that."

Morgan asked Trump about his stance on the issue just days after thousands of marchers gathered in cities across the country to mark the one-year anniversary of the Women's March on Washington protesting Trump's presidency and stance on certain issues.

"You're always going to have marches," Trump said in response to a question about the movement by women. "The march, I guess, was a lot smaller than it was last year."

Read More