It also said the number of confirmed cases has increased from sixty-eight to 93.
Hours before the fourth death, a third casualty was reported on Wednesday at the Military Hospital in Accra.
She was the wife of a two-star army general.
Meanwhile, the Ghana Medical Association (GMA) has called on the government to lock down the country with immediate effect to prevent the spread of the coronavirus.
The GMA says only essential services such as food, water and medicine businesses should be allowed to operate.
“The lockdown, though not a comfortable decision for leadership and citizens alike, is a proven option backed by science and along with the other measures will ultimately be in our best interest.
“We call on all Ghanaians to support such a move in the national interest to save our nation from the devastating effects of this pandemic,” the GMA said in a press statement released Wednesday