The 8.1 magnitude quake left at least 61 people dead, according to officials.
Another 200 people were injured, President Enrique Peña Nieto said, as he declared a national day of mourning.
Meanwhile, the feared category one Hurricane Katia, which struck Veracruz on the east coast on Saturday, has been downgraded to a tropical storm.
The US National Hurricane Center reported Katia had been rapidly weakening ever since making landfall, but local officials are worried the storm could still cause landslides and flooding.
