Trump's call to arrest protesters came at a campaign event in Kansas City, Missouri, where he was repeatedly interrupted at the beginning of his address.
"I'm going to ask that you arrest them," Trump said to the police. "I'll file whatever charges you want. If they want to do this ... we're going to go strongly for your arrests."
Trump said arresting protesters would "ruin the rest of their lives" by giving them a "big arrest mark."
"Once that's starts happening, we're not going to have any more protesters, folks," Trump said.