Up to 200 people could still be trapped in the structure, which is located in the Achimota neighborhood of the capital city, BBC reported
Rescue workers were trying to clear rubble and provide oxygen masks to survivors. At least one person has been pulled from the site.
Ghana's President John Dramani Mahama suspended his re-election campaign after hearing of the disaster. Moments after the department store collapsed, he posted a message on Twitter.
"My prayers are with the workers, shoppers and others who are trapped in the rubble of the Achimota Melcom building," he wrote.
Accra Mayor Alfred Oko Vanderpuye was on the scene of the recovery efforts, BBC reported.
The cause of the building's collapse was not reported.