The Galveston Police Department said the incident happened just before 2 a.m. on June 26 at the intersection of 36th Street and Avenue J.
Officers found an injured pedestrian at the scene, but the vehicle involved had taken off.
The pedestrian was taken to the hospital and pronounced dead.
Police said an investigation is underway to identify the driver.
Anyone with information regarding this incident is urged to contact detectives at 409-765-3628. Anonymous tips can also be reported to Galveston Crime Stoppers at 409-763-8477.