Thousands were evacuated ahead of the violent storm, which made landfall early on Tuesday in Cuba’s Pinar del Rio province where much of the tobacco used for its cigars is grown.
State media said Cuban President Miguel Díaz-Canel visited the affected region.
In Consolacion de Sur, southwest of Havana, Caridad Fernandez, 65, said her roof was seriously damaged and water came through her front door.
“Everything we have is damaged,” she said. “But we’ll get through this, we’ll just keep moving forwards.”