Mayor Marion Barry has abandoned his budget-cutting effort to close a turn-of-the-century fire station in Foggy Bottom, saying that the crash of an Air Florida jet into the Potomac River last month changed his mind.

But the mayor remains partly at odds with a City Council committee that voted yesterday to keep open both the station in Foggy Bottom and another one near Capitol Hill that Barry still wants closed.

David A. Clarke (D-Ward 1), chairman of the council's judiciary committee, said yesterday that Barry has agreed to add $612,400 to his fiscal 1983 budget proposal to fund the station at 21st and G Streets NW. But Barry balked at keeping the other station, at 419 New Jersey Ave. NW, open.

Barry has tried to close both stations for three years in a row. They have missed the budget ax, however, because of support from Clarke and other council members. The International Association of Fire Fighters also has lobbied heavily against the closings, along with residents near both stations.

Referring to the Jan. 13 plane crash that killed 78 persons and a Metro subway accident the same day that killed three, Barry said in a letter to Clarke's committee that "it became necessary to reevaluate" the Foggy Bottom station. The station was the closest fire unit to the plane crash site.

Barry was out of town yesterday and could not be reached for further comment.

In other action yesterday, the judiciary committee approved Barry's $128.2-million police department budget. The budget included $150,000 for the city's new Civilian Complaint Review Board that will investigate charges of police misconduct against citizens.

Other budgets approved by Clarke's committee include $30.2 million for the D.C. Superior Court; $88 million for the Department of Corrections; $6.4 million for the Office of Corporation Counsel, and $88.2 million for police and fire retirement.