The Oshkosh Fire Department says the homebuilt plane crashed Wednesday when it lost power as it was attempting to land.
The pilot and passenger are brothers from Kentucky. Fire officials say the men had to be removed from the wreckage. Their injuries aren't life-threatening.
The cause of the power outage is unclear. The plane crashed in a small air strip just south of the state prison.
The National Transportation Safety Board says the plane was a single-engine, two-seater that was built from a kit.
Authorities say it's likely the two men were coming to the area to attend the annual Experimental Aircraft Association's AirVenture.