California has sued the Trump administration after the state's National Guard was deployed to confront protesters in Los Angeles, the state's attorney general said Monday.

The announcement came the day after Gov. Gavin Newsom said on social media that he intended to sue.

"Donald Trump is putting fuel on this fire. Commandeering a state's National Guard without consulting the Governor of that state is illegal and immoral," wrote Gavin Newsom on X Sunday. "California will be taking him to court."

In a followup on Monday morning, Newsom said in a post that President Trump "illegally acted to federalize the National Guard," adding "we're suing him." 

Mr. Trump and Newsom have engaged in an escalating war of words that on Monday included Mr. Trump voicing support for arresting Newsom.

"I would do it if I was Tom," Mr. Trump said, referring to his "border czar" Tom Homan, the White House Executive associate director of enforcement and removal operations. "I think it's great. Gavin likes publicity. But I think it would be a great thing."

California Attorney General Rob Bonta said Monday that the federalization of the California National Guard deprives the state of resources needed to protect citizens, particularly in the event of an emergency. The suit argues that the state's governor is commander-in-chief of the guard and must consent to its federalization. Newsom has not done so. 

"President Trump's order calling federalized National Guard troops into Los Angeles — over the objections of the Governor and local law enforcement — is unnecessary and counterproductive. It's also deeply unfair to the members of the National Guard who are hard at work every day protecting our state, preparing for and responding to emergencies, and training so that, if called, they can fight our nation's wars," Bonta said.

National Guard troops were sent to downtown Los Angeles Sunday amid a weekend marked by protests and at-time violent clashes between law enforcement and protesters. The unrest began following large-scale immigration enforcement operations in the area on Friday.

Images captured by CBS Los Angeles showed members of the National Guard using what appeared to be tear gas and rounds of non-lethal ammunition after a crowd gathered near the Metropolitan Detention Center. 

During a Sunday evening news conference, LAPD Chief Jim McDonnell said 39 people had been arrested.

Mr. Trump announced Saturday night that he would deploy the Guard in response to the protests and in a social media post on Sunday, he criticized Newsom and L.A. Mayor Karen Bass. Mr. Trump called the protesters "troublemakers and insurrectionists."

Newsom, in his own social media posts, accused Mr. Trump of "escalating the situation," and called the National Guard deployment  "purposefully inflammatory."

He requested that the federal government rescind the deployment of troops to L.A. addressed to Defense Secretary Pete Hegseth, saying there was "no need" for the National Guard.

Newsom's office confirmed on Saturday that he spoke with Mr. Trump for about 40 minutes, although it's unclear if they spoke before or after Mr. Trump announced the deployment. 

In a statement to CBS News, an ICE spokesperson said immigration enforcement operations have resulted in the arrest of a "domestic abuser" and a "child rapist."