Bradley, 59, was found dead at about 6 p.m. Saturday inside his apartment in the 100 block of New Hampshire Avenue, near the Vermont/Beverly Red Line station. He had suffered multiple stab wounds to his body.
A surveillance team observed Fructuoso walking around near Bradley's residence, and the suspect was taken into custody. Detectives obtained a search warrant for Fructuoso's home, where evidence was found linking him to the murder.
Fructuoso later confessed to the crime during an interview with detectives.
The two men had a "romantic relationship," according to Los Angeles Police Cmdr. Matt Blake.
Bradley was a director and producer at the Fountain Theater in East Hollywood, where he worked for 16 years. He had been preparing for his latest production, scheduled to open in February.
The body was discovered by a stage manager who went to the apartment to check on Bradley because he did not show up for rehearsals.