Soft top for a convertible vehicle

The convertible soft top (3) is displaced between a closed position of a passenger compartment (5) and an open position of the passenger compartment. A strap (11) of a convertible top compartment cover (27) is formed for cooperated with a fixed body element (31). The strap is sealed in closed top position by a sealing device against the convertible top compartment cover, and is sealed by another sealing device against the fixed body element.