Gusts of winds of up to 75mph have caused floods and mudslides.
The hurricane has already killed 12 people in central America.
Almost half a million people were evacuated from western Cuba ahead of the storm.
Emergency
It is the worst hurricane the region has seen for 50 years.
And now Florida has gone on alert and declared a state of emergency after fears Hurricane Michelle is coming its way.
However, there are signs that the winds are getting weaker and it has been downgraded from a four to a three on the hurricane scale of one to five.