The bomber was trying to drive into the police station's gate but detonated against the wall instead, Captain Mohamed Hussein told The Associated Press.
Ambulance sirens echoed across Mogadishu, with dozens of soldiers at the scene.
The blast targeted Waberi district's police station on the busy Maka Almukarramah road, Colonel Ahmed Warsame said. The Somalia-based al-Shabab extremist group often targets high-profile areas in Mogadishu.
On Tuesday, at least 15 people were killed when a suicide car bomber posing as a milk delivery van detonated at a district headquarters in Mogadishu. Most of the victims were civilians. Al-Shabab claimed responsibility.
Al-Shabab last year became the deadliest Islamic extremist group in Africa, with more than 4,200 people killed in 2016, according to the Washington-based Africa Center for Strategic Studies.
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