Gov. Mike DeWine of Ohio announced on Monday that he was deploying state troopers to the beleaguered city of Springfield to reassure the community that schools are safe despite a wave of bomb threats.

The threats began last week after Donald J. Trump mentioned Springfield during the presidential debate, repeating a baseless rumor that Haitian immigrants in the city were abducting and eating household pets.

Since then, 33 bomb threats have targeted city schools, most recently on Monday when two elementary schools were evacuated as a result of threats, Governor DeWine said. City Hall and two hospitals have also been targeted.

At a news conference, Mr. DeWine said that none of the bomb threats so far had “any validity at all.”

But the threats have shaken the city and disrupted school for thousands of students. The deployment of a contingent of 36 troopers, beginning on Tuesday, is intended to allay anxieties and ensure that students can focus on school.

“We must take every threat seriously, but children deserve to be in school, and parents deserve to know that their kids are safe,” the governor said. “The added security will help ease some of the fears caused by these hoaxes.”

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