President Andres Manuel Lopez Obrador personally joined an official convoy heading for the seaside city by road, despite landslides and other debris blocking the way.
"The army is bringing machinery and we're going to try to reopen (the highway) as soon as possible," he told journalists who were also trying to reach Acapulco.
Images emerging from the city showed significant damage after Hurricane Otis came ashore overnight as a "potentially catastrophic" Category 5 storm.
People recounted a terrifying ordeal as Otis ripped through a usually sun-kissed resort popular with foreign and Mexican visitors.
"The material damage is devastating. We have no water or electricity," said Citlali Portillo, a tourist accommodation manager.
"The building shook as if there was an earthquake," Portillo told the television channel Televisa, adding that she had taken shelter in a bathtub.
Lopez Obrador said earlier that there were no initial reports of deaths but "there's material damage and blocked roads."
A convoy carrying humanitarian aid also set off to try to reach Acapulco -- home to about 780,000 people -- by land since the airport was closed, authorities said.
"The urgent thing is to attend to the affected population. We still don't have the damage assessment because there's no communication," Civil Protection national coordinator Laura Velazquez said.
Even the navy and military were "seriously affected," she added.
Otis was packing maximum sustained winds of 165 miles (265 kilometers) per hour when it hit the coast, but later dissipated over southern Mexico, the US National Hurricane Center (NHC) said.
The storm had rapidly strengthened to the most powerful category of the five-step Saffir-Simpson scale as it neared land, taking authorities by surprise.
"Rarely, according to records, does a hurricane develop so quickly and with such force," Lopez Obrador said.
- Tourists hunker down -
Videos posted on social media showed severely damaged hotels and other buildings, including many shattered windows.
Tourists used beds and mattresses for protection in their hotel rooms, once windows were blown out.
"We protected ourselves with barricades made by children, women, men... many were injured by glass," said Nely Palacios, a Mexican tourist.
Toppled trees were seen in the debris-strewn streets and a shopping mall appeared to have suffered major structural damage in Acapulco, located in the southern state of Guerrero.
More than 500 emergency shelters were opened for residents.
There were widespread power blackouts, though state electricity company CFE said Wednesday that it had managed to restore supply to 40 percent of the more than half a million affected customers.
Heavy rains continued to deluge Guerrero and parts of neighboring Oaxaca -- two of Mexico's poorest states, home to remote mountain communities.
"This rainfall will produce flash and urban flooding, along with mudslides in areas of higher terrain," the NHC warned.
Hurricanes hit Mexico every year on both its Pacific and Atlantic coasts, usually between May and November, though few make landfall as a Category 5.
In October 1997, Hurricane Pauline hit Mexico's Pacific coast as a Category 4 storm, leaving more than 200 people dead, some of them in Acapulco.
It was one of the deadliest hurricanes to batter Mexico.
In October 2015, Patricia became the most powerful hurricane ever recorded, pummeling Mexico's Pacific coast with sustained winds of 200 miles per hour.
But the storm caused only material damage and no deaths as it made landfall in a sparsely populated mountainous area.
Just this week, Tropical Storm Norma left three people dead, including a child, after making landfall for a second time in the northwestern state of Sinaloa.
Earlier this month, two people died when Category 4 Hurricane Lidia struck the western states of Jalisco and Nayarit.
Scientists have warned that storms are becoming more powerful as the world gets warmer with climate change.
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