The announcement on indoor exercise classes came after a number of fitness studio owners protested outside City Hall on Tuesday.

When the governor ordered local governments to allow gyms across the state to reopen last September, he allowed local officials to decide whether or not to also permit the return of indoor fitness classes. Mayor Bill de Blasio of New York City declined to do so, citing fears of an increased risk of transmission in those spaces.

Last month, a group of fitness studios sued Mr. de Blasio and Mr. Cuomo for the right to reopen.

Fitness classes will be capped at 33 percent capacity, like gyms in the state, and patrons will be required to wear face coverings while exercising.