Hubert Minnis has put the death toll at 50, 42 in Abaco and 8 in Grand Bahama.
However, there are many who are still missing, which could be another sign that the storm's death toll may rise significantly.
Thousands of people are in shelters on the islands and officials have warned the number of dead is likely to rise substantially.
People all over Nassau are still searching for friends and family they have not seen since the storm.
Dorian slammed into the Bahamas over a week ago as one of the strongest Atlantic hurricanes on record, packing top sustained winds of 185 miles (298 km) per hour.
Private forecasters estimated that Dorian destroyed or damaged some $3 billion in insured property in the Caribbean.