The winds were at 45 mph and the storm moved northeast into the Mexican state of Durango at 20 miles per hour. The storm will continue to weaken as it hits the Sierra Madre mountain range and pumps moisture into northern Mexico and Texas.
Once a Category 5 hurricane, Willa had weakened to a Category 3 storm before landfall, but still had maximum sustained winds of 120 km / h (195 km per hour)
"Life-threatening storm surge, wind and rain (spreads to land), "said the US hurricane center earlier.
On Saturday, Willa went from a tropical storm to a Category 5 hurricane in two days, in which the Hurricane Center called "explosive" recruitment. In a 24-hour period, his winds increased by 80 mph.
Forecasters were worried about storm surges and rain.
"Near the coast, the rise will be accompanied by large and destructive waves," said the hurricane center. "Rainfall will cause life-threatening flash floods and landslides."
Precipitation should reach 1
 The Willa landed Tuesday on Isla del Bosque on its way to Mazatlan, Sinaloa, according to the Mexican Water Commission
Also in Chihuahua, Guerrero, Veracruz, Baja California and Chiapas were strong Storms expected. Authorities advised on possible landslides.
Arturo Dávalos, mayor of Puerto Vallarta, spoke to CNN en Español on Tuesday, saying the evacuations had already started and there were two accommodations available.
Davalos also said that about 650 tourists of various nationalities, in co-ordinated cooperation with the Consulates of Canada and the United States, have been taken to a safe place and are waiting for the current alert to be lifted.
A tourist in Nayarit, where the Willa was expected to hit hard, seemed surprised by the hurricane, telling CNN en Español that he did not expect bad weather, just enjoying the time in the sun and on the beach. He added that the storm would not dampen his vacation, but said he would care for his family if it got bad.
Mexico's National Defense Bureau published images on its Twitter account of shelters.
Willa was also a danger to meteorologists. A plane with the Hurricane Hunters of the Air Force Reserve had to turn around on Monday for concerns about its on-board equipment after a blast from one of Willa's outer rainbands blew it up, according to the National Hurricane Center.
The airlines had begun to leave Willa. Southwest Airlines had canceled all flights at the international airport in Puerto Vallarta, a resort town in the state of Jalisco. American Airlines had canceled their flights in Mazatlan, about 275 miles to the north.
Willa's landing came three years after the day the hurricane hit the Pacific Coast, Patricia, a Category 5 storm, landed in Jalisco.  Willa and Vicente's back-to-back systems helped make the 2018 hurricane season in the northeastern Pacific a record year.
The season is now the most active hurricane season measured with accumulated cyclones. The energy, the number of storms and their intensity. Englisch: www.dlr.de/en/desktopdefault.aspx/t…1_read-6279/ across their lifecycle to allow for an overall measurement of tropical activity in a particular region.
This year there were 10 major hurricanes, including Willa, which in 1992 as the major hurricanes in the Northeast Pacific in one year.
CNN's Michael Guy, Claudia Dominguez and Kelly Murray contributed to this report.