Donald Trump and Hillary Clinton hold double-digit leads in New York and are poised to regain their footing in their home state’s primaries next Tuesday, a new Wall Street Journal/NBC News/Marist poll finds.

On the Republican side, Mr. Trump holds a 33-point lead over his closest rival, Ohio Gov. John Kasich, 54% to 21%, while Texas Sen. Ted Cruz trails both, as the top pick of 18% of likely Republican primary voters.

Mrs. Clinton maintains a 14-point lead in the Democratic contest, outpacing Vermont Sen. Bernie Sanders 55% to 41% among likely Democratic primary voters. The former secretary of state’s lead is built on strength among women, African-Americans and Democrats age 45 and older.

The survey results will be welcome news to the two front-runners, who have both lost ground in recent weeks. Mr. Trump is looking to bounce back from a decisive loss in last week’s Wisconsin primary, while Mrs. Clinton has lost eight of the last nine Democratic contests.

“Right now, the front-runners look like they will erase recent setbacks and add significantly to their delegate margins,” said Lee Miringoff, director of the Marist College Institute for Public Opinion, which conducted the survey. “New York is not likely to enhance the hopes of those trying to close the gap in the delegate hunt.”