The Republican presidential nominee often uses the term "hit" to mean verbally attack, rather than physical contact.
After hearing speeches at the Democratic National Convention in Philadelphia this week, Trump said he wanted to "hit a number of those speakers so hard, their heads would spin. They'd never recover".
The real estate tycoon zoomed in on one speaker especially, though he didn't mention his name, CNN reported.
"I was going to hit one guy in particular, a very little guy," Trump said to laughs at a campaign rally in Iowa.
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Trump said this individual "came out of nowhere" and had done work with him in the past. "He made deals with me. 'Will you help me with this? Would you make this deal and solve the problem?' I solved the problem," Trump said.
Several speakers this week have gone after Trump including Michael Bloomberg. The former New York City mayor made a surprise endorsement over the weekend for Hillary Clinton, and described Trump in his convention speech last night as a "dangerous demagogue."
"He said a lot of things about me, I never met the guy," Trump said. "I mean the things that were said about me. I mean, should I go through some of the names?"
Trump recalled telling a friend this week that he wanted to retaliate against the people who slammed him at the convention, mentioning current New York City Mayor Bill de Blasio by name.
"I was going to say that de Blasio is the worst mayor in the history of the city, but I didn't say it," Trump said to laughs. "He's a terrible mayor. I was going to say that, but now I won't say it."
"He said, 'Don't hit there. Don't hit down. You have one person to beat. It's Hillary Rodham Clinton,'" Trump recalled, adding that he initially objected to the advice. "I said, 'But I really want to. I don't like what they're saying because a lot of it is lies. Not all of it but a lot of it is.' I said, 'I just really ... It makes me feel good.' "
Ultimately, he said, he conceded and decided not to launch into verbal assaults against the Democrats.