CBS, the BBC's news partner in America, reported that as of Friday evening local time, two people were killed and several injured.
The epicentre of the 6.5 magnitude earthquake was near the popular tourist town of Acapulco, near San Marcos in the southwestern state of Guerrero.
A woman, 50, is believed to have died in Guerrero, state governor Evelyn Salgado said, while Clara Brugada, Mexico City's mayor, confirmed the death of a 60-year-old man. She also said 12 people were injured. Brugada said aftershocks from Friday's earthquake continued to be felt.