A roof assembly for a vehicle includes a roof having roof parts. A rod kinematic system is connected to the roof parts to move the roof parts between a closed position of the roof in which the roof parts adjoin one another along a planar level to thereby cover the vehicle interior and a stored position of the roof in which the roof parts stack on top of one another to thereby expose the vehicle interior. First and second locking devices are associated with the roof parts. The locking devices have locking elements which engage one another to lock the stacked roof parts together when the roof is in the stored position.