The vehicle ploughed into the property in Barnett Street in Tipton at about 16:00 BST. There were no reports of any injuries, the fire service said.
West Midlands Police said officers were trying to locate the driver to check on his well being.
Structural engineers were sent to assess the property as well as two fire engines and a technical rescue team.
Police are searching for the driver of a car that crashed into a house in the Black Country.