Donald Trump Predicts Ted Cruz Will 'Have a Hard Time' in Upcoming Election Contests

GOP presidential candidate Donald Trump arrives to speak to the media during a press conference at the Trump International Golf Club as results rolled in on a day known as "Super Saturday," on March 5, 2016 in West Palm Beach, Florida. PlayJoe Raedle/Getty Images
WATCH Donald Trump Calls on Party to Unify Behind His Candidacy After More Primary Wins

GOP presidential candidate Donald Trump celebrated projected wins in two key states -- Mississippi and Michigan -- while at the same time disparaging the rival who is emerging as his biggest threat: Texas Sen. Ted Cruz.

Interested in ?

Add as an interest to stay up to date on the latest news, video, and analysis from ABC News.
Add Interest

“He is always saying, 'I am the only one that can beat Donald Trump,'” Trump said tonight. “I've heard it so many times, but he never beats me. Take a look. He never beats me.”

He added, “Ted Cruz is going to have a hard time when he gets to certain states, he's going to have a hard time.”

Trump called his success in various state primaries and caucuses combined with some record-setting GOP turnout numbers the “biggest story in politics today.”

“I hope the Republicans will embrace it,” he said, adding that, if he wins the nomination, “We will take many, many people away from the Democrats” in the November election.

Trump also decried the “horrible things” and “horrible lies” that his opponents have said about him in recent days.

Trump made the remarks at his golf club in Jupiter, Florida. The Sunshine State holds its primary one week from tonight.

As has become his primary night custom, Trump held a lengthy news conference, fielding questions from reporters.

He called former GOP nominee, Mitt Romney, “vicious” for pursuing an anybody-but-Trump effort. And seemed to relish the difficulties of one of his other opponents, Florida Sen. Marco Rubio.

“Marco Rubio, he became hostile a few weeks ago,” Trump said. “It didn't work. Hostility works for some people. It doesn't work for everyone.”