“Tonight’s victory belongs to generations of women and men who struggled and sacrificed to make this moment possible,” Hillary Clinton told cheering crowds at a rally in New York.
“Thanks to you, we’ve reached a milestone.”
The former secretary of state hailed “the first time in our nation’s history that a woman will be a major party’s nominee”.
Earlier, Hillary Clinton won the Democratic primary in New Jersey, cementing her hold on her party’s nomination.
Hillary Clinton went on to win South Dakota and New Mexico, while her rival Bernie Sanders found victory in the Montana and North Dakota caucuses.
Six states have been voting in primaries on June 7 but the race in California will count the most.
Bernie Sanders had been hoping for a win in that state but early results indicated a significant lead for Hillary Clinton.
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