"I think it's a very fair statement that I made and a lot of people have congratulated me," Trump said after an event in Nashville, Tennessee. "(Abedin) is receiving this very, very important information and giving it to Hillary. Well, who else is she giving it to? Her husband has serious problems, and on top of that, he now works for a public relations firm. So how can she be married to this guy who's got these major problems?"

Huma Abedin, wife of Anthony Weiner, speaks during a press conference on July 23, 2013 in New York City.

Trump added: "Who knows what he's gonna do with it. Forget about her. What she did is a very, very dangerous thing for this country and probably it's a criminal act."

Speaking at an event in Massachusetts Friday night, the real estate mogul first accused Abedin of "getting classified secrets" due to her proximity to Clinton, who used a private server as secretary of state for official business.

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"Think of it, Huma is getting classified secrets, she's married to Anthony Weiner, who's a perv. He is," Trump told supporters. "It all sort of came through Huma -- who is Huma married to, one of the great sleazebags of our time."

Weiner, a former New York City congressman and later a mayoral candidate, has admitted to repeatedly engaging in sexting with young women.

But Trump wasn't done Saturday, saying Weiner "obviously is psychologically disturbed" and that it was "dangerous" for Abedin to receive sensitive information from Clinton.

Clinton spokesman Nick Merrill defended Abedin from Trump's comments in a tweet Friday night, blasting the suggestion that she shared classified information with Weiner.

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"There is no place for patently false, personal attacks against a staff member," Merrill said. "He should be ashamed of himself."

Abedin's lawyers on Saturday referred a request for comment to Merrill's statement. A message left with Abedin herself was not immediately returned.

Trump was asked Saturday whether his staffers were fair game for attacks.

"Oh sure they are," Trump said.

CNN's Jake Tapper, Dan Merica and Kevin Bohn contributed to this report.