Joe Biden secured the presidency after the Electoral College confirmed his victory Monday, capping a tumultuous period sparked by Donald Trump’s fight in the courts to turn the election in his favor.

Electors in all 50 U.S. states and the District of Columbia cast their ballots for president and vice president in time-honored constitutional ceremonies that took on new importance after Trump insisted that the election was “rigged.”

The 55 votes from California electors put Biden over the 270 needed to win. 

The next major step in the process of electing the president comes Jan. 6, when Vice President Mike Pence is expected to preside over a joint session of Congress in which the totals from each state will be counted and an outcome declared. 

Monday’s outcome came as President Trump—with the backing of many Republicans—has continued to protest the results showing him losing to his challenger, 306 electoral votes to 232 votes. Trump’s campaign and his allies have filed a string of unsuccessful legal challenges in several closely contested states that Biden purportedly won.

Biden, in remarks Monday evening in Wilmington, Del., pointed to his tally of 306 electoral votes, which was comparable to the president’s victory in 2016.

“At the time, President Trump called his Electoral College tally a landslide,” Biden said. “By his own standards, these numbers represented a clear victory then, and I respectfully suggest they do so now.”

Attorney General William Barr, who submitted his resignation Monday effective Dec. 23, has said the Justice Department hasn’t found evidence of widespread voter fraud.

The Electoral College meetings took less than an hour in most states, and there were no electors who didn’t back the total-vote winner of their state.

Last Friday, the Supreme Court rejected a long-shot bid filed by Texas Attorney General Ken Paxton to void 20 million votes in four other states. More than 100 House Republicans signed a brief in support of the lawsuit, which came after dozens of other failed efforts to overturn Mr. Biden’s win.

On Monday, the Wisconsin Supreme Court rejected a campaign lawsuit that sought to invalidate the votes of 220,000 people, asking the court to throw out four broad categories of votes.

Trump aide Stephen Miller said Monday on Fox News that the campaign planned to keep contesting the result: “The only date in the Constitution is Jan. 20. So we have more than enough time to right the wrong of this fraudulent election result and certify Donald Trump as the winner of the election.” The campaign declined to further explain its plans.