The fire Wednesday destroyed the Fouani Brothers building in the Canalside section of Monrovia, the online news service Africa Review said.
Witnesses said some of the casualties included looters who entered the building on the pretext of fighting the fire. The 50-year-old building collapsed during the fire.
Capt. Augustine Kolubah of Liberia's National Fire Service said two firefighters were among those who died and that five bodies had been recovered.
The cause of the fire wasn't identified.
Avril Lavigne denies racism in 'Hello Kitty' music video
Humongous iceberg slowly drifts away from Antarctica