A detachable roof system for a convertible vehicle (10) having an open state in which a vehicle cabin is open and a closed state in which the vehicle cabin is closed includes a front frame (30) which is removably mountable to the vehicle at the front of the vehicle cabin and a rear frame (60), separate from the front frame (30), which is removably mountable to the vehicle at the rear of the vehicle cabin. The rear frame includes an integral panel (76) which forms a rear window of the vehicle when the rear frame is mounted on the vehicle. The roof system includes a hood (34) for covering the cabin in the closed state; wherein the rear frame (60) provides a support for the hood (34) which spans the rear frame (60) when the hood (34) covers the cabin.