Trump delivered his victory speech at Trump Tower in Manhattan, thanking his supporters and telling the crowd of his No. 1 rival Ted Cruz, "Based on what I am seeing on television, Sen. Cruz is just about mathematically eliminated."
"It's really nice to win the delegates with the votes," Trump added before echoing complaints he's made in recent weeks about the "rigged" delegate selection system.
"Nobody should be given delegates, which is a ticket to victory, and it's not a fair ticket. And even though we're leading by a lot and we can't be caught – it's impossible to catch us – nobody should take delegates and claim victory unless they get those delegates with voters and voting, and that's what's going to happen. Because the people aren't going to stand for it. It's a crooked system, it's a system that's rigged, and we're gonna go back to the old way. It's called, 'You vote and you win.' "
The billionaire businessman was widely expected to win the Empire State, where he cast his own ballot in his native New York City earlier in the day. His victory Tuesday night further cemented his front-runner status over fellow GOP hopefuls Cruz and John Kasich.
For the Democrats, there were 247 delegates up for grabs in New York, more than in any of the previous contests.
Clinton delivered her victory speech from the same Times Square hotel ballroom where she celebrated her 2006 reelection to the Senate.
"Today proved once again there's no place like home," she said. "We've won in every region in the country – from the North to the South to the East to the West. But this one is personal."
"New Yorkers, you've always had my back. And I've always tried to have yours. Today, together, we did it again and I am deeply, deeply grateful ... victory is in sight."
Clinton and her husband, former President Bill Clinton cast their ballots earlier Tuesday near their home in Chappaqua, New York. This is Clinton's first win since Arizona on March 22. The former secretary of state previously lost Hawaii, Idaho, Utah, Washington State, Wisconsin and Wyoming to rival Bernie Sanders.
Clinton's New York win is an important step to securing the Democratic nomination.
In her victory speech Tuesday night, she made a direct appeal to Democrats who voted for Sanders: "There is much more that unites us than divides us."
Sanders, who was campaigning in Pennsylvania as the New York returns came in, was flying home to Vermont to huddle with advisers before returning to the Pennsylvania campaign trail ahead of that state's April 26 primary.