President Miguel Díaz-Canel said the provinces of Artemisa and Mayabeque as well as the capital Havana were severely hit.
“Every step from this point forward is geared towards recovery. Together we will do it,” he added.
Th western parts of the country saw widespread flooding and damage to properties brought on by the hurricane. Most of the country’s 10 million population are still without power.
In Havana, residents used shovels, brooms and buckets to clear rubbish, mud and branches as they assessed the damage on Thursday.
Fallen electricity pylons lined the motorway from the capital’s west to Artemisa, and towns along the route were strewn with branches and debris from damaged homes.
One Artemisa resident said people were having to “improvise” to deal with the power cuts.
“If you don’t have gas, you have to improvise with coal,” Elias Perez said.
“Yesterday my wife and I got by with coal. It’s a mess, but we have to keep going.”
Last month, millions in Cuba were left without power for four days after issues with the country’s old energy infrastructure caused a blackout.
That blackout also coincided with Hurricane Oscar, a less powerful category one storm that left a trail of destruction along the island’s north-eastern coast.
Natalia Martinez, also from Artemisa, said: “We know how to survive, we’re in the dark all the time, you know.”
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