In Oaxaca state, there were at least 80 landslides, some of which buried homes and their occupants. In some areas, entire communities were cut off as roads became impassable.
The resort of Acapulco, which is still struggling to recover from the impact of Hurricane Otis last year, was severely flooded.
City officials asked anyone who owned a boat to help rescue people trapped in flooded neighbourhoods.
Residents posted videos on social media of themselves wading through waters which reached their shoulders.
Some families climbed onto the roofs of their homes as the waters rose.
Officials said more than 5,000 people had to be evacuated and 3,800 had been sleeping in shelters.
Claudia Sheinbaum, who is due to be sworn in as Mexico’s new president on Tuesday, said she would visit Guerrero state with her ministers on Wednesday to ensure that those affected received “all the necessary assistance”.
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