The increases voted Monday night were the lowest also for two-year leases, whose lowest increase in several previous years had been 4 percent.

Image Rachel D. Godsil tried to quiet the crowd during a meeting of the Rent Guidelines Board on Monday. Credit... Christopher Gregory for The New York Times

Last year the board approved increases of 4 percent for one-year leases on rent-stabilized apartments and 7.75 percent for two-year leases.

On Monday night, two de Blasio appointees voted for the increases: Sara Williams Willard, a senior project manager at the Hudson Companies and one of two landlord representatives on the board; and Steven Flax, vice president for community reinvestment at M & T Bank in New York, who is among five members of the public on the board. It was Mr. Flax who proposed the 1 percent increase as a compromise, saying, “It costs money to run buildings.”

But he apologized for his vote. “I have to vote my conscience,” he said, “and I have to say this moment is a nightmare.”

The board has never forgone an increase since it was established in 1969, but the possibility of a freeze had come closer to reality than ever after the election last year of Mr. de Blasio, who has spoken widely on his desire to alleviate the housing cost burden for New Yorkers. With rent laws that dictate parameters such as how apartments can come off regulation currently in the hands of the state government, the city rent board is one of the few levers the mayor has to influence the rental market directly.

Members of the board consider both affordability trends and landlords’ costs when making their decision. Landlords have succeeded in pleading their case for rent increases, although they have also complained that the increases are not high enough to cover the costs of operating and maintaining their buildings.

But data posted by Rachel D. Godsil, the board’s chairwoman, on the Rent Guidelines Board’s website before the vote noted that, on average, owners of rent stabilized properties have been spending less on operating and maintenance costs in recent years — about 60.5 cents out of every dollar of revenue in 2012. Their net operating income has also been up eight years in a row, the data show.