Mayor Zohran Mamdani’s push to freeze rents for nearly one million New York City apartments cleared a major hurdle on Thursday night when a city panel backed rents that included leases with no increases.

In a preliminary vote, the panel, the nine-member Rent Guidelines Board, supported increases of between 0 and 2 percent on one-year leases, and 0 and 4 percent on two-year leases for rent-stabilized apartments. A vote on the final numbers, which will fall within those ranges, will take place on June 25.

The vote was seven in favor, one against and one abstention, with the two representatives of landlords not voting yes.

“New Yorkers are being crushed by the cost of living, and they need real relief,” Mr. Mamdani said in a statement after the vote.

He said he thought that the board had appropriately taken into account “pressures facing both tenants and small property owners” to set the preliminary ranges and that the board would “arrive at a decision later this summer that reflects the urgency of this moment.”

The decisions of the panel are contentious every year, but the stakes are especially high as the city faces one of its worst affordability crises in generations.