"Thanks to you, we've reached a milestone, the first time in our nation's history that a woman will be a major party's nominee," Clinton, 68, told her supporters at her campaign headquarters in Brooklyn, New York.
US President Barack Obama congratulated Clinton for securing the 2,383 delegates necessary to clinch the Democratic party's presidential nominee.
However, Obama did not formally endorse Clinton - his former Secretary of State.
Obama called both Clinton and her Democratic rival Bernie Sanders to applaud them for "running inspiring campaigns that energised Democrats." The President will meet Sanders at the White House tomorrow at the Vermont senator's request, the statement said.
In the November presidential elections, Clinton would face fellow New Yorker Donald Trump, from the Republican party, whom she said is not fit to lead the country.
If elected in the November general elections, she would be the first ever woman president of the US.
"We cannot let a man who demeans women, attacks people for their race or religion, and traffics in paranoid conspiracy theories take the oath of office," she said, attacking 69-year-old Trump.
"We won't let a man who said he'll order our troops to commit war crimes by killing the wives and children of suspected terrorists become Commander-in-Chief. This election isn't about the same old fights between Democrats and Republicans...It's about who we are as Americans. And it is an argument we must win," Clinton said.
Clinton said the Republican candidate would take America back "back to a time when opportunity and dignity were reserved for some, not all."
"He's not just trying to build a wall between America and Mexico, he's trying to wall off Americans from each other," she alleged.
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"It's clear that Donald Trump does not believe we're
stronger together," Clinton continued.
"He has abused his primary opponents and their families, attacked the press for asking tough questions, denigrated Muslims and immigrants. He wants to win by stoking fear and rubbing salt in wounds and reminding us daily just how great he is. We believe we should lift each other up, not tear each other down," she said.
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