Concord — The New Hampshire House on Thursday approved a bill that would require voters who move to the state within 30 days of an election to provide proof that they intend to stay.

The measure cleared the House, 191-162, despite the objections of Democrats who insisted it would disenfranchise voters and some Republicans who said it wouldn’t accomplish anything. It was a slightly modified version of a bill that passed the Senate in March.

Earlier this year, President Donald Trump alleged widespread voter fraud in New Hampshire, and while there has been no evidence to support that, Republicans contended existing state laws create the potential for fraud.

Under current law, “voters are able to cast their ballots without proving that they live here. That is unacceptable,” said Rep. Steve Negron, R-Nashua.

“We are ensuring the integrity of the vote. We’re not trying to prevent it, we’re trying to protect it,” he said.

Under the bill, voters who can’t provide proof they intend to remain in New Hampshire, such as a driver’s license or lease, still would be allowed to vote. However, if they don’t follow up with elections officials within 10 to 30 days, authorities could go their homes to investigate. In cases where officials couldn’t verify someone’s address, the voter would be removed from the voter rolls for future elections.

Supporters say the bill needed to ensure people living here temporarily don’t participate in state elections, while opponents argue the legislation does little to prevent ineligible voters and will discourage college students, low-income residents and homeless people, among others, from voting.

Republican Rep. Bart Fromuth, of Bedford, agreed that election law reform is desperately needed, but he said the bill before the House would not accomplish it.

“The 2016 campaign was about bold vision, new direction and real change, yet 2017 seems to be filled with terms like small steps and incrementalism,” he said. “To that, I say, ‘No thank you.’ I didn’t sign up for that.”

Democrats also argued the lengthy registration form the bill requires would confuse voters. They said some people whose names are not on leases or mortgages, such as homeless voters or domestic violence victims, would have to get written statements verifying their addresses.

“No one should be asked to beg their abuser for permission to vote,” said Rep. Marjorie Porter, D-Hillsborough.