MIAMI — With an eye on next year’s presidential election, the Florida Legislature passed a bill on Thursday that would tighten the rules on third-party voter registration and limit the number of days early voting can take place, an effort that Democrats portrayed as blatant voter suppression.

The legislation, which Republican leaders said was needed to curb fraud, save money and ensure a more orderly process, will now go to Gov. Rick Scott for his signature.

“We have come a long way since the 2000 elections,” said Senator Miguel Diaz de la Portilla, a Miami Republican who sponsored the bill, referring to Florida’s central role in the disputed presidential tally. “This bill makes the process better, clearer, more transparent, more accessible. It enfranchises voters.”

But Democrats accused Republicans of trying to make it more difficult for voters — particularly Democrats — to cast their ballots and said the bill was unnecessary because reforms put in place after 2000 have largely been successful. Fraud, they said, is minimal: the Florida Department of State referred 31 cases of alleged voter fraud to the Department of Law Enforcement in the past three years.