Republican presidential candidate Ted CruzRafael (Ted) Edward CruzOvernight Health Care: Trump eases rules on insurance outside ObamaCare | HHS office on religious rights gets 300 complaints in a month | GOP chair eyes opioid bill vote by Memorial Day HHS official put on leave amid probe into social media posts Trump, Pence to address CPAC this week MORE on Thursday angrily slammed rival Donald TrumpDonald John TrumpAccuser says Trump should be afraid of the truth Woman behind pro-Trump Facebook page denies being influenced by Russians Shulkin says he has White House approval to root out 'subversion' at VA MORE for dragging Cruz's wife into the campaign with a series of attacks.

"It's not easy to tick me off. I don't get angry often. But you mess with my wife, you mess with my kids, that'll do it every time," Cruz said in Wisconsin.

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"Donald, you're a sniveling coward. Leave Heidi the hell alone."

Trump first attacked Heidi Cruz on Tuesday night with a tweet threatening to "spill the beans" about her. Trump was responding to an ad from an anti-Trump super-PAC that featured Trump's wife posing nude.

Trump intensified the attacks by sharing a tweet late Wednesday night with an image comparing his wife, Melania, a former model, to Cruz's wife and stating, "A picture is worth a thousand words."

Asked whether he would support Trump if he gets the nomination, Cruz avoided the question.

"I'm going to beat him for the nomination," he said. 

"Donald Trump will not be the nominee," he continued to repeat when pressed.