"It's something that Donald Trump is going to have to answer questions in regard to," Priebus said on "Fox News Sunday."
"All I'm saying, though, is after a year of different stories, nothing applies. ... Listen, I'm not saying it's not legitimate. It's all legitimate. I'm just saying I don't think it's going to affect people's view of who and what Donald Trump represents to them."
Questions about Trump's character are at the forefront as journalists continue to probe his past.
The Washington Post reported Friday that Trump masqueraded as publicists named "John Miller" and "John Barron" in the 1970s, '80s and '90s to brag to journalists about his professional and romantic conquests. (Trump, who testified in a 1990 court case that he occasionally used the name "John Miller," denied the report.)
Then, the New York Times on Saturday published a 5,000-word article online about Trump's private interactions with women. Titled "Crossing the Line," the investigation revealed stories of unwelcome advances and unsettling behavior by Trump toward dozens of women who dated, met or worked with him over several decades.
Priebus, repeatedly wavering in his estimation of Trump's character, called the stories "planted" and suggested that critics are unfit to judge the presumptive GOP nominee.
"As Christians, judging each other, I think, is problematic," he said on ABC's "This Week."
"It's when people live in glass houses and throw stones that people get in trouble. ... It's not necessarily that people make mistakes or have regrets or seek forgiveness. It's whether or not the person launching the charge is authentic in their own life and can actually be pure enough to make such a charge."
Priebus argued that Hillary Clinton's treatment of women is just as newsworthy as Trump's.
"I don't have a problem with reporters looking into this, but I also think they should be looking at Hillary Clinton and her past and her treatment of women and her treatment of women in the workplace and the way she acted on this email scandal," Priebus said.
Representing Republicans skeptical of Trump, Rep. Tim Huelskamp (Kan.) said on Fox News that the businessman's "New York values" won't play well in the American heartland.
"I think there are millions of soccer moms, football dads, baseball dads across America, and they're trying to raise their children in a tough culture, and here they have a presidential candidate who is demeaning to women. He's vulgar, he's crass, and I don't know where they are going to go. He's certainly not conservative either," Huelskamp said.
Sen. Jeff Sessions (R-Ala.), who has endorsed Trump, said voters don't expect "purity" from him.
"What they're deeply concerned about is this: somebody strong enough to take on Washington," Sessions said on ABC.