It happened Tuesday night at East Mount Eden and Jerome avenues.
Police say a 45-year-old man walked up to two men and opened fire.
33-year-old Donte Thomas, of Grand Concourse in the Bronx, was shot in the head and pronounced dead at the hospital.
A 35-year-old man was critically wounded.
Police say the 45-year-old gunman was also shot in the head during the altercation.
He is in critical condition.