After a lawyer with his administration was shot in the head, Gov. Andrew M. Cuomo on Tuesday renewed his call for an overhaul of national gun laws to stanch the flow of firearms to criminals in New York City.

The lawyer, Carey Gabay, who was caught in a hail of gunfire in Brooklyn amid celebrations of West Indian American Day, had surgery and was in “very critical condition,” Mr. Cuomo said in an interview on CNN.

“It’s nothing good, I can tell you that,” the governor said of Mr. Gabay’s condition.

The shooting near Prospect Park stemmed from a dispute, possibly between rival gangs, police officials said. Mr. Gabay, 43, the first deputy counsel for the Empire State Development Corporation, the state’s main economic development agency, was caught in the crossfire as nearly 30 shots were fired from as many as three guns, the police said.

The New York Police Department on Tuesday announced a $12,500 reward for information about the shooting as investigators looked at forensic evidence and tried to collect surveillance footage from the area. A law enforcement official, speaking on the condition of anonymity to discuss a continuing investigation, said the shooting was instigated by an argument between two men on Bedford Avenue, about two blocks from the east side of Prospect Park.