Former Gov. Chris Christie of New Jersey turned his fire on Friday from former President Donald J. Trump, his usual subject of attack, to his higher-polling Republican rivals for the nomination.

Mr. Christie’s campaign released its first television advertisement of the campaign cycle, which blasted Gov. Ron DeSantis of Florida and Nikki Haley, the former governor of South Carolina, for targeting each other instead of the former president, whom they all trail by a wide margin.

“Chris Christie is the only one who can beat Trump because he’s the only one trying to beat Trump,” the narrator in Mr. Christie’s 30-second spot says.

The six-figure ad buy, first reported by Axios, is airing in New Hampshire on local broadcasts and on national outlets including CNN, CNBC and MSNBC’s “Morning Joe.”

It comes as Mr. Christie tries to boost himself before the Jan. 23 primary in New Hampshire, where he is in third place behind Mr. Trump and Ms. Haley. He has bet that a strong showing in the Granite State, forgoing Iowa’s first-in-the-nation caucuses, will keep his campaign afloat in future contests.

The ad cited polls that showed Ms. Haley and Mr. DeSantis behind Mr. Trump by double digits.

“Nikki Haley, down by 26 in her home state to Trump, attacks DeSantis,” a voice-over says, citing an ad from the super PAC supporting Ms. Haley that called him “too lame to lead, too weak to win.” The ad then pivots to Mr. DeSantis: “DeSantis, down 32 to Trump in Iowa, attacks Nikki Haley,” the narrator says, airing a clip from Mr. DeSantis’s super PAC that said “you can’t trust Tricky Nikki.”

“There’s only one candidate trying to stop Trump,” the ad says, before airing footage of Mr. Christie bashing Mr. Trump on the debate stage.

The Times reported last month that Ms. Haley’s super PAC had spent $3.5 million on ads attacking Mr. DeSantis but none specifically attacking Mr. Trump. (On Friday, Ms. Haley called on the former president to participate in the Iowa debate, saying, “It’s getting harder for Donald Trump to hide.”)

While Mr. DeSantis has attacked Mr. Trump’s record more in recent weeks, his super PAC, Never Back Down, spent 10 times more on efforts to criticize Ms. Haley than Mr. Trump.

Mr. Christie trails Mr. Trump by more than 50 points in national polls, with his support hovering in the low single digits.

He has spent the fewest days campaigning of the remaining Republican Party candidates, an analysis from The New York Times showed. The campaigns and super PACs supporting Mr. DeSantis, Ms. Haley and Mr. Trump have far outspent him.

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