Abstract: In a hardtop vehicle roof comprising front, intermediate, and rear roof parts, which are movable between a closed position, in which they cover an interior vehicle space, and an open position, in which they are stacked in a storage compartment of the vehicle, and wherein the front and rear roof parts are supported on the intermediate roof part by a roof part operating mechanism, which is operatively connected to a support and operating mechanism by which the intermediate roof part is mounted on the body of the vehicle, the roof parts operating mechanisms for the front and rear roof parts are operatively connected to the support and operating mechanism of the intermediate part such that, when the roof is opened, the front and rear roof parts are moved on top of the intermediate roof part to form a packet in which the top sides of all roof parts face upwardly and which requires relatively little space on top of the vehicle and does not intrude in the vehicle interior during the transfer between the closed and t