CLEVELAND — Republicans nominated Donald Trump for president Tuesday night, as backers of the New York businessman made pitches for party unity and launched broadsides at Democrat Hillary Clinton.

Shortly after 7 p.m., New York provided 89 delegates for Trump, putting him over the top for the nomination.

The state delegation, which included State Senate Majority Leader John Flanagan (R-East Northport), turned the microphone over to Donald Trump Jr.

“We are going to put New York into play this time around,” Trump Jr. said amid cheers. “Congratulations, Dad, we love you!”

In an impromptu video appearance from Trump Tower in Manhattan, the candidate thanked delegates for nominating him.

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“Today has been a very special day, watching my children put me over the top,” Trump said. “Together we have achieved historic results . . . this is a movement, but we have to go all the way.”

On the GOP convention’s second day, speakers veered between calls for party unity and pointed attacks on Clinton, the Democrats’ presumptive nominee.

House Speaker Paul Ryan, who had withheld his endorsement of Trump because of Trump’s hard-line views on immigration and his criticism of the Republican-controlled Congress, acknowledged divisions in the party.

“We Republicans have made our choice,” Ryan said. “Have we had our arguments this year? Sure we have. You know what I call those? Signs of life. Signs of a party not just going through the motions.”

He said a Clinton victory would amount to a third Obama term.

“Progressives deliver everything except progress,” he said.

New Jersey Gov. Chris Christie turned it on full-bore.

Christie, whom Trump defeated in the Republican primaries, played prosecutor against Clinton and told delegates to act as jurors.

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Christie said she failed as the nation’s “top diplomat,” allowing the terrorist group known as ISIS to flourish. He asked delegates for their verdict.

“Guilty!” they shouted.

Christie said Clinton refused to confront radical Islamic terrorism, and negotiated “the worst nuclear arms deal in history” with Iran.

“She fights for the wrong people,” Christie said. “She never fights for us.”

Clinton responded on Twitter: “If you think Chris Christie can lecture anyone on ethics, we have a bridge to sell you.” It was a reference to the “Bridgegate” case involving allies of Christie’s.

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In an interview with CBS News, Christie replied: “If Hillary Clinton wants to take me on, I’m happy to take her on between now and the end of the campaign and there won’t be much of her left.”

Another convention speaker, Rep. Chris Collins (R-Clarence), who in February became the first congressman to endorse Trump, said “President Trump is going to build a wall and secure our borders. President Trump is going to defeat terrorism and make our country safe again. President Trump is going to bring back our stolen jobs.”

Republicans from the around the country, including several from Arkansas who knew Clinton as first lady to then-Arkansas Gov. Bill Clinton, targeted Clinton for what they called errors that cost four American lives in the terrorist attack on the U.S. Consulate in Benghazi, Libya, while Clinton was U.S. secretary of state.

Convention co-chair Sharon Day criticized Clinton for staying with her husband despite his extramarital affairs. Day said that as first lady when Bill Clinton was president, Clinton had attacked integrity of women “who were sexually abused, by your husband!”

In their speeches to the convention, Trump Jr., who works in his father’s development business, and daughter Tiffany Trump, a singer, portrayed their father as a dedicated family man.

Trump Jr. said his father as a young developer hung out with laborers hanging Sheetrock and pouring concrete and listened to them as much as he did to Harvard graduates, then had those workers teach his children the development business.

“We didn’t learn from MBAs, we learned from people who had doctorates in common sense,” Trump Jr. said.

Tiffany, 22, a graduate of the University of Pennsylvania, recalled that her father wrote touching notes about her efforts and successes on her report cards going back to kindergarten.

“He always helped me to be the best version of myself . . . and always stay true to who I am . . . ,” she said. “That is a great quality to have in a father and better yet in a president of the United States.”

Vice presidential nominee Mike Pence, the governor of Indiana, was nominated by acclamation, with no other candidate in the running.

With Emily Ngo