Officers responded to a report of an infant left unattended in a car at the Marina Square Shopping Center in the 1200 block of Marina Boulevard at about 12:25 p.m., according to police.
When officers arrived, they found the baby sitting in a child car seat, police said.
The temperature at the time of the officers' arrival was approaching 80 degrees, according to police.
Officers searched several stores for the infant's guardian and eventually found her mother, identified as Robin Chan, shopping in a store, police said.
Chan had no logical explanation for leaving her child in the car unattended and was arrested for child neglect and transported to jail, according to police.
The baby's father responded to the scene and took custody of his daughter after medical personnel evaluated her and determined her to be OK, police said.