U.S. Border Patrol said on Wednesday that 23 people were missing off the coast of Florida after a Cuban migrant boat sank due to Hurricane Ian.

The Border Patrol agents responded to a migrant landing in Stock Island, Florida, officials said on Twitter, adding that the U.S. Coast Guard had initiated a search operation for the 23 missing people.

Four Cuban migrants swam to shore after their vessel sank due to inclement weather, Chief Patrol Agent Walter Slosar said. Local media said those four were hospitalized.

On Tuesday, the storm thrashed Cuba, knocking out the electrical grid for 11 million people and ravaging the western end of the island with violent winds and flooding. By early Wednesday, the state electricity provider said it had begun to restore power across the eastern end of the island.

Ian's thrashing of Cuba left at least two people dead, both deaths occurring in the hard-hit western province of Pinar del Rio. A woman died after a wall collapsed on her and a man died after his roof fell on him, state media said.

The hurricane hit Cuba at a time of dire economic crisis. Blackouts and long-running shortages of food, medicine and fuel were likely to complicate efforts to recover from Ian.

On Tuesday, seven migrants from Cuba were taken into custody after they made it to shore in Pompano Beach, Florida, U.S. authorities said.

"Do not risk your life by attempting this journey at sea. Storm surge along with King tide can create treacherous sea conditions even after a storm passes," officials said on Twitter on Tuesday when announcing those detentions. King tides are exceptionally high and can cause tidal flooding.

On Wednesday, the hurricane began lashing Florida's Gulf Coast with powerful winds and drenching rain.

(Reporting by Kanishka Singh in Washington; Editing by Bill Berkrot)