Mexico's president has warned that Hurricane Patricia still poses a threat of floods and landslides as it brings heavy rain to parts of the country.
President Enrique Pena Nieto said Patricia - the strongest storm recorded in the Americas - had so far caused less damage than feared.
The US National Hurricane Centre said the hurricane hit as a Category Five storm - the highest classification.
It has since been downgraded to a Category Two tropical storm.
The storm touched down in western Mexico, bringing destructive winds and rain, but heavy damage appears to have been avoided.
The NHC said winds had decreased to 155 km/h (100 mph) as the storm weakened over land.
Patricia is now moving north-northeastward inland over northern Mexico.
The states of Nayarit, Jalisco, Colima, Michoacan, and Guerrero are in particular danger as the storm moves inland, the centre says.
"The first reports confirm that the damage has been smaller than that corresponding to a hurricane of this magnitude," Mr Pena Nieto said in a televised address.
Mexican federal police said only "minor landslides and fallen trees" had so far been reported in Colima.
But the government has warned that ash from the Colima volcano, which has become increasingly active this year, could combine with heavy rainfall to trigger huge mudflows.
Some 400,000 people live in vulnerable areas, according to Mexico's National Disaster Fund.
Patricia reached land in the Cuixmala area of the western Jalisco state, some 85km (55 miles) from the port city of Manzanillo.
The US National Hurricane Center said Patricia hit the coast with winds of 265km/h (165mph), making it the most powerful storm ever to be recorded in the Americas.
At one point before landfall, the hurricane's winds had been strong enough "to get a plane in the air and keep it flying", World Meteorological Organization spokeswoman Claire Nullis said.
Video filmed in the port city of Manzanillo shortly before the hurricane struck showed trees bending in severe wind.
While sheltering with his family in Manzanillo, Jacob Lozano Salazar told the BBC: "We're all safe but it's really ugly here on the coast."
Residents had stocked up on food and other supplies, while shop owners boarded up windows.
Jalisco is home to the resort town of Puerto Vallarta, which appeared to have escaped the worst of the storm.
Police patrols in the resort urged people to leave the shorefront for safer areas at least three blocks inland, while loudspeakers ordered hotel residents to evacuate.
The town's airport, along with two others in the path of the storm, were closed.
(BBC)