Presumptive Republican presidential nominee Donald TrumpDonald John TrumpPapadopoulos on AG's new powers: 'Trump is now on the offense' Pelosi uses Trump to her advantage Mike Pence delivers West Point commencement address MORE on Wednesday stood by his claim that Ted CruzRafael (Ted) Edward CruzOn The Money: Conservative blocks disaster relief bill | Trade high on agenda as Trump heads to Japan | Boeing reportedly faces SEC probe over 737 Max | Study finds CEO pay rising twice as fast as worker pay Conservative blocks House passage of disaster relief bill The Hill's Morning Report — After contentious week, Trump heads for Japan MORE’s father, Rafael Cruz, was linked to Lee Harvey Oswald, citing a report in the National Enquirer.

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Trump defended himself for citing the story, saying in an interview with ABC’s “Good Morning America” that the tabloid has been right in the past.

“The National Enquirer gave you John Edwards; it gave you O.J. Simpson; it gave you many, many things. I mean, you can’t knock the National Enquirer. It’s brought many things to light, not all of them pleasant.”

Trump also rejected the notion that he owed Rafael Cruz an apology over the accusations.

“No, all I was doing was referring to a picture that was reported in a magazine, and I think they didn’t deny it. I don’t think anybody denied it,” he said. “Now I don’t know what it was, exactly, but it was a major story in a major publication and it was picked up by many other publications.”

Rafael Cruz denied the allegations on Tuesday, calling them “ludicrous.”

Pressed again about making an apology, Trump said he only brought up the report in response to the Texas senator's father saying “nasty things” about him.

“I’m just referring to an article that appeared. I mean, it has nothing to do with me,” he said.