The magnitude-seven quake was also felt strongly around 370km (230 miles) away in Mexico City, sending residents and tourists spilling into the streets from homes and hotels.
Power cuts were reported in several states and there was damage as the quake shook hillsides around Acapulco.
One man was killed by a falling post in the nearby city of Coyuca de Benitez.
President Andrés Manuel López Obrador said that there that there were no reports of major damage across the country.