Donald Trump planned to hole up in his Manhattan tower for debate prep on Saturday, even as a parade of Republicans denounced his sexually aggressive comments about women on a leaked video tape — and some called on him to step aside as presidential nominee, USAToday reported.

Trump announced Saturday he has no plans to leave the race, even though a rising number of Republicans urged him to do just that.

"I've never said I'm a perfect person, nor pretended to be someone I'm not," Trump said in a video statement and Facebook posting addressing the incident. "I've said and done things I regret, and the words released (Friday) on this more than a decade-old video are one of them."

Listen to the 2005 comments

He added: "I said it, it was wrong, and I apologize."

WATCH Donald Trump's apology

Early Saturday afternoon, Ohio Gov. John Kasich released a statement:

"Nothing that has happened in the last 48 hours is surprising to me or many others. Many people were angry and questioned why I would not endorse Donald Trump or attend the Republican Convention. I’ve long had concerns with Donald Trump that go beyond his temperament. We have substantive policy differences on conservative issues like trade, our relationship with Russia, and the importance of balancing the federal budget. I’ve held out hope that he would change on those disqualifying policy positions, but he has not. I’ve also encouraged him to change his behavior for the better and offer a positive, inclusive vision for our country, but he has not."

"It's clear that he hasn't changed and has no interest in doing so. As a result, Donald Trump is a man I cannot and should not support. The actions of the last day are disgusting, but that’s not why I reached this decision, it has been an accumulation of his words and actions that many have been warning about. I will not vote for a nominee who has behaved in a manner that reflects so poorly on our country. Our country deserves better."