Footage inside the convention center and outside in downtown Albuquerque depicted a chaotic scene of smashed windows, hurled rocks and police using pepper spray to disperse protesters.
"Only arrests at this point have been from inside the rally," the Albuquerque Police Department tweeted late Tuesday, Sputnik News reported.
Police are tear-gassing anti-Trump protestors in New Mexico in the vicinity of the candidate's rally. It's on your TV, and harrowing to see.
It later said "most" anti-Trump protesters have left, adding that the "remaining contingent is only looking to cause trouble [and] be destructive."
Albuquerque police could not confirm reports of shots being fired outside the venue that reportedly damaged windows.
Trump’s campaign staff was cited as saying the Republican frontrunner was already on his way to Los Angeles, California, and was not caught up in the events that followed his speech.