Congresswoman Schultz, Chairwoman of Democratic National Committee in a statement announced her resignation after the emails leaked by Wikileaks showed that she tended to support Hillary Clinton over Bernie Sanders in the party's presidential primaries.
As head of the party, Schultz is supposed to be neutral.
Clinton, the former secretary of state, has emerged as the winner of the Democratic presidential primaries defeating Senator Sanders from Virginia.
"Going forward, the best way for me to accomplish those goals is to step down as Party Chair at the end of this convention," Schultz, 49, said in a statement on Sunday, on the eve of the Republican National Convention here.
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She was the first woman nominated by a sitting president as Chair of the Democratic National Committee that would formally anoint Clinton as the party's presidential nominee.
The Trump Campaign manager Paul Manafort in a statement demanded that Clinton drop out of the race, following resignation of Schultz.
"Now Hillary Clinton should follow Wasserman Schultz's lead and drop out over her failure to safeguard top secret, classified information both on her unauthorised home server and while traveling abroad.
Schultz's emails only put the Democratic Party at risk, but Hillary Clinton's emails put all of America at risk," Manafort said.
Sanders said he would continue to support Clinton as his main goal was to defeat Trump, Republican presidential candidate.
He did acknowledge his disappointment over the biased support of the top party leadership to the Clinton campaign during the primaries.
"The party leadership must also always remain impartial in the presidential nominating process, something which did not occur in the 2016 race," Sanders said in a statement.
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In a statement, Clinton said Schultz has agreed to serve as honorary chair of her campaign's 50-state programme to gain ground and elect Democrats in every part of the country, and will continue to serve as a surrogate for her campaign nationally.
President Obama too praised Schultz for her leadership of the DNC.
"Her critical role in supporting our economic recovery, our fights for social and civil justice and providing health care for all Americans will be a hallmark of her tenure as Party Chair," Obama said.
In a tweet, Trump said the Democratic party is in a total meltdown.
"The highly neurotic Debbie Wasserman Schultz is angry that, after stealing and cheating her way to a Crooked Hillary victory, she's out!" Trump tweeted.