The US National Hurricane Center issued a hurricane warning for Max for the coastline between Zihuatanejo and Punta Maldonado.
The centre said Max should weaken as it moves over land but could bring "life-threatening flash floods and rainfall" to Guerrero and Oaxaca states.
Max had maximum sustained winds of 80 mph (130 kph), was located about 90 kilometers east-southeast of Acapulco and was heading toward the east at 8 mph (13 kph), the hurricane center reported.
Acapulco, about 60 kilometres from where the hurricane made landfall, was hit by strong winds and rain that blew down some branches on the city's coastal boulevard.
Also Read
Also yesterday, Tropical Storm Norma formed farther out to the west in the Pacific and was expected to strengthen and head toward the resort-studded Baja California Peninsula.
Norma was located about 580 kilometres south of the twin resorts of Los Cabos at the peninsula's southern tip.
The storm had winds of 45 mph (75 kph) and was moving north at 6 mph (9 kph). On that track Norma could be at hurricane strength near Los Cabos by Sunday or Monday.
Disclaimer: No Business Standard Journalist was involved in creation of this content