While pulling into a parking spot and coming to a stop, the brakes failed and the car abruptly accelerated forward despite attempts to continue braking. The car proceeded over the curb and raised hilly grassy median and only came to a stop when it collided with a parked vehicle on the other side of the median. I, as the driver, had no control of the vehicle and could have potentially hit a pedestrian in this parking lot. There was a person seated in the car that my car impacted and she could have been hurt as well as myself and my passenger. All of this was reported to the community service officer who came to the scene, as well as to the Coggin collision center, Coggin Honda dealership and my insurance company. My insurance company has sent an appraiser to the collision center but he did not investigate the causative factors, only the body damage so far. There were no warning lamps or messages and the airbags did not deploy despite frontal impact. The car is currently at the Honda Collision center and would be available for inspection.