The de Blasio administration’s plan to convert aging pay phones to Wi-Fi hot spots won unanimous approval on Wednesday from a review committee, clearing the way for the installation of thousands of Wi-Fi sites across New York City over the next decade.

The vote, by the city’s Franchise and Concession Review Committee, appeared to end an impasse between administration officials and the comptroller, Scott M. Stringer.

Last month, the city said it had chosen CityBridge, a consortium of companies including Qualcomm and Titan, to carry out the project, which will provide free Internet access, free domestic calling and a charging station for mobile devices. It is expected to cost CityBridge more than $200 million to build the network.

The plan will be paid for by advertising revenue from digital displays on the new kiosks, officials said. Mr. Stringer, who has a representative on the six-member committee, raised concerns that the agreement would perpetuate digital inequities in the city by providing faster Wi-Fi speed in more affluent areas, attracting more ads to the kiosks.