A strong magnitude 7.6 earthquake rattled western Mexico on the anniversary of two deadly earthquakes that killed thousands in the country.

Footage shows the tremors jolting an apartment in the Miguel Hidalgo borough of Mexico City on September 19, with a pet Shiba Inu being confused by the sudden shaking.

The quake struck 37 kilometres southeast of Aquila town at 1 pm local time on Monday at a depth of 15 kilometres, the United States Geological Survey said.

Local authorities said at least one person was killed in Manzanillo City after being crushed by a department store roof.

The disaster came as citizens marked the anniversaries of two other deadly quakes that struck on the same date - one in 2017 that killed at least 350, and another in 1985 that killed an estimated 10,000.