WAUKESHA, Wisconsin — President Trump on Wednesday will use a one-day break from his hush money trial to rally voters in the battleground states of Wisconsin and Michigan, a day after he was held in contempt of court and threatened with jail time for violating a gag order.

His remarks will be closely watched after he received a $9,000 fine for making public statements about people connected to the case. In imposing the fine for posts on Mr. Trump’s Truth Social account and campaign website, Judge Juan M. Merchan said that if Trump continued to violate his orders, he “will impose an incarceratory punishment.”

The former president is trying to achieve a balancing act unprecedented in American history by running for a second term as the presumptive Republican nominee while also fighting felony charges in New York.

Mr. Trump frequently goes after Judge Merchan, prosecutors and potential witnesses at his rallies and on social media, attack lines that play well with his supporters but that have potentially put him in legal jeopardy.

The GOP front-runner insists he is merely exercising his free speech rights, but the offending posts from his Truth Social account and campaign website were taken down. Judge Merchan is weighing other alleged gag-order violations by Mr. Trump and will hear arguments on Thursday.

Mr. Trump appeared frustrated after the ninth day of the trial came to an end, saying he should be out in Georgia and New Hampshire instead of sitting in court.

“They don’t want me on the campaign trail,” he told reporters.

The candidate has often called this case and other criminal cases against him “election interference,” saying they keep him from campaigning for the presidential election in November.

The gag order barred him from making public statements about witnesses, jurors and some others connected to his hush money case.

Manhattan prosecutors have argued Mr. Trump and his associates took part in an illegal scheme to influence the 2016 presidential campaign by purchasing and then burying stories. He is also accused of falsifying business records in connection with the so-called hush money payments. He has pleaded not guilty.

The visits to Wisconsin and Michigan mark Mr. Trump’s second trip to the swing states in just a month. The states are among a handful of battlegrounds expected to decide the 2024 election.

For Mr. Trump to win both states, he must do well in suburban areas like the areas outside of Milwaukee and Saginaw, Michigan, where he will hold Wednesday’s rallies. He underperformed in suburban areas during this year’s primary even as he dominated the Republican field overall.