A sliding roof structure of a vehicle includes rails 5a, 5b installed on the right and left roof side portions of the vehicle and a cover member 2 that can be slid and folded along the rails 5a, 5b, wherein the cover member 2 is comprised of a detachable inner cover member 30 and an outer cover member 40, which is slid along the rails 5a, 5b and to which the inner cover member 30 is mounted in detachable state, or the cover member 2 is comprised of a base cover member 7, which is made by attaching a bottom cover sheet 9 to the bottom frame member 10, and a top cover member 8, which is made by attaching a top cover sheet 8a to the top frame member 14, either the top frame member 14 or the bottom frame member 10 is equipped with an engaging portion 14a and the other with a groove 12 for supporting the engaging portion 14a, and the engaging portion 14a is inserted into the groove 12 and the top cover member 8 attached to the base cover member 7 in detachable state.