A vehicle roof structure includes a roof bow, a vibration dampening plate and a weighted member attached to the vibration dampening plate. The roof bow has a forward flange section, a rearward flange section and a central section, the central section defining a recessed area. The vibration dampening plate is installed to an upper surface of the roof bow proximate the central section. A weighted member is fixedly attached to a lower surface of the vibration dampening plate such that the weighted member is at a level above the upper surface of the recessed area of the roof bow and has a non-contacting relationship with the roof bow.