The National Hurricane Center says Irma has strengthened back into a Category 5 storm. Forecasters also extended hurricane and storm surge warnings and watches farther north in Florida.
The center says Irma made landfall on the Camaguey Archipelago of Cuba late Friday and has maximum sustained winds of 160 mph (260 kph).
The hurricane is about 300 miles (485 kilometers) from Miami and moving about 13 mph (20 kph) toward the west.
In the Gulf of Mexico, Hurricane Katia is making landfall north of Tecolutla, Mexico. Katia is still a Category 1 hurricane with winds of 75 mph (120 kph). Forecasters expect the hurricane to weaken quickly over the next 24 hours.
In the Atlantic, Hurricane Jose has almost hit Category 5 strength, with tops winds of 155 mph (250 kph). Jose is about 265 miles (430 kilometers) east-southeast of the northern Leeward Islands.