Abstract: A convertible automobile having a divisible roof formed by a rear roll-bar rigid element and by a rigid top element which can be displaced to a retracted position in which the roof is partially opened. This displacement is performed according to a first tilting step whereby the top element is rotated substantially about its front side so as to lower its rear side beneath the roll-bar element, and a second step whereby the top element is transferred completely within the roll-bar element. The roll-bar element with the top element thus fitted therein can then be lowered, by a rearward swinging, into a rear storage compartment of the automobile, having an associated cover movable between an advanced closed position and a retracted open position of the storage compartment.