Two of the employees are officers and one is a civilian employee.
According to LAPD Chief Michel Moore, 73% of the agency's personnel are fully vaccinated against COVID-19, and an additional 5% are partially vaccinated.
About 2,200 department employees have indicated that they intend to file a request for an exemption from the mandate, Moore said.
Earlier this week, the LAPD's Office of Inspector General confirmed that an investigation is underway after reports that three LAPD officers attended a vaccine-mandate protest in Grand Park while in uniform.
LAPD watchdog investigating report of officers attending vaccine-mandate protest
Photos posted on social media appeared to show the three officers in front of LAPD headquarters in downtown, purportedly walking to the rally that attracted hundreds of demonstrators on Monday.
On Tuesday, an LAPD spokesperson told Eyewitness News only that the personnel matter was being investigated and declined to elaborate.