Authorities said they received multiple 911 calls of shots fired on the 6500 block of Hollywood Boulevard at about 3 a.m.
When police arrived, they found a woman with several gunshot wounds on the third floor. She was declared dead at the scene.
Neighbors said in the midst of the couple's fight, the girlfriend left the apartment to get away, and then her boyfriend shot her several times in the hallway.
According to LAPD Lt. Robert Binder, a quick investigation led officers to a suspect. The man barricaded himself in his apartment.
Residents in the apartment building along the Hollywood Walk of Fame were evacuated, and Hollywood Boulevard was shut down in the area during the standoff.
Detectives said the incident ended peacefully with the suspect taken away in an ambulance. Police say the suspect sustained minor injuries at the time of the arrest. A Taser was used to subdue Allee.
No shots were fired by police and no one else was injured in the incident.
The victim's identity was not released pending notification of next of kin. She was described as a 33-year-old female Caucasian.
A motive was not determined.
Allee was booked on suspicion of murder and held on $1 million bail.
Anyone with information about this case is urged to call Hollywood Homicide Detectives Chris Gable or Brett Goodkin at (213) 972-2910. During non-business hours or on weekends, calls should be directed to 1-877-LAPD-24-7 (877-527-3247). Anyone wishing to remain anonymous should call Crimestoppers at 1-800-222-TIPS (800-222-8477). Tipsters may also contact Crimestoppers by texting to phone number 274637 (C-R-I-M-E-S on most keypads) with a cell phone. All text messages should begin with the letters "LAPD." Tipsters may also go to LAPDOnline.org, click on "webtips" and follow the prompts.