Democratic frontrunner Hillary Clinton and presumptive Republican nominee Donald Trump have each won primaries in Washington state.
Mr Trump's win helps him inch closer to clinching his party's nomination for
uring the rally, Mr Trump was interrupted repeatedly by protesters, who shouted, held up banners and resisted removal by security officers.
The banners included the messages "Trump is Fascist" and "We've heard enough".
At one point, a female protester was physically dragged from the stands by security. Other protesters scuffled with security as they resisted removal from the convention centre, which was packed with thousands of cheering Trump supporters.
Mr Trump responded by instructing security to remove the protesters and mocking their actions by telling them to "go home to mommy".
He responded to one demonstrator by asking: "How old is this kid?" Then he provided his own answer: "Still wearing diapers."
The altercations left a glass door at the entrance of the convention centre smashed.
It was Mr Trump's first stop in New Mexico, the nation's most Hispanic state. Governor Susana Martinez, head of the Republican Governors Association and the nation's only Latina governor, has harshly criticised his remarks on immigrants and attacked his proposal to build a wall along the US-Mexico border.
The governor did not attend the rally and has yet to make an endorsement.