The employees a union representative, a supervisor and an employee whose title was unknown were in a meeting behind locked doors when other workers heard shots shortly before 3:15 p.m., Lt. Hampton Cantrell said.
The shots may have been fired by a disgruntled employee who then killed himself, Cantrell said.
The supervisor and union representative died at the scene and the other employee died at a local hospital, Cantrell said.
The office is an agricultural selection bureau where plants and food are inspected. All three of those who died were inspectors and were in uniform at the time, Cantrell said.
Normally, inspectors are unarmed, he added.
Officers were interviewing as many as 25 employees to get further details and counselors were en route to console distraught employees.
Inglewood is about 10 miles south of downtown Los Angeles.
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