Police are also investigating reports of a suspicious package inside the mall.
Police said that no evidence of shots fired have been found and are still searching for the suspect.
Other areas surrounding the mall have been placed on lockdown due to the incident as a precautionary measure.
"If you're sheltering in place within the Century City Mall you can begin to calmly exit the location. We ask that you remain calm and follow instructions of the officers at scene. We have NO evidence of a shooting or any victims at this time," read another tweet by the LAPD.
Further details are awaited.
The incident comes hours after mass shootings at two mosques took place in Christchurch, New Zealand, which killed 49 people and wounded 48 others.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)