The victims say, once the door was open, the men forced their way into the home.
Four people, one adult and three minors, were tied up, but were not hurt.
The robbers escaped with $12,000 in cash and jewelry.
Inglewood police carry recognizable badges and photo identification.
They say legitimate officers will readily provide their name, serial number, and the reason for contact.
Anyone with information is urged to call the Inglewood Police Department's anonymous tip line at 1-888-41-CRIME or 1-888-412-7463.
City News Service contributed to this report.