A convertible car with a front engine comprising: a passenger compartment; a retractable hard-top, which can be set to an open position or a closed position relative to the passenger compartment; a trunk, which is arranged in a rear position and contains the retractable hard-top, when the retractable hard-top is arranged in the open position; an upper covering, which is arranged over the trunk and is mobile between a closed position, in which the upper covering covers the trunk on the top, and an open position, in which the upper covering is separated from the trunk so as to allow the retractable hard-top to move into/out from the trunk; a trunk lid, which is supported by the upper covering and is mobile relative to the upper covering so as to be opened to allow to access the trunk from the behind; a first actuating device, which is mechanically connected to the upper covering and is suited to move the upper covering between the closed position and the open position; a second actuating device, which is mechanically connected to the trunk lid and is suited to move the trunk lid relative to the upper covering between a completely closed position, in which the trunk lid completely closes the access to the trunk, and a semi-open position, in which the trunk lid is arranged in an intermediate position between the completely closed position and a completely open position; and a control unit, which controls the movement of the retractable hard-top and controls the first actuating device to move the upper covering between the closed position and the open position during the movements of the retractable hard-top; and wherein the control unit, before controlling the first actuating device to move the upper covering from the closed position to the open position, preventively controls the second actuating device to move the trunk lid from the completely closed position to the semi-open position; and wherein the control unit, after having controlled the first actuating device to move the upper covering from the open position to the closed position, controls the second actuating device to move the trunk lid from the semi-open position to the completely closed position; the car is characterized in that: the trunk lid is provided with a lock which comprises a first locking element, integral with the trunk lid, and a second locking element, which is suited to couple with the first locking element and is integral with the upper covering; and the second actuating device is mechanically connected to one of the locking elements (21, 22) of the lock so as to cause one of the locking elements (21, 22) of the lock to move. a passenger compartment; a retractable hard-top, which can be set to an open position or a closed position relative to the passenger compartment; a trunk, which is arranged in a rear position and contains the retractable hard-top, when the retractable hard-top is arranged in the open position; an upper covering, which is arranged over the trunk and is mobile between a closed position, in which the upper covering covers the trunk on the top, and an open position, in which the upper covering is separated from the trunk so as to allow the retractable hard-top to move into/out from the trunk; a trunk lid, which is supported by the upper covering and is mobile relative to the upper covering so as to be opened to allow to access the trunk from the behind; a first actuating device, which is mechanically connected to the upper covering and is suited to move the upper covering between the closed position and the open position; a second actuating device, which is mechanically connected to the trunk lid and is suited to move the trunk lid relative to the upper covering between a completely closed position, in which the trunk lid completely closes the access to the trunk, and a semi-open position, in which the trunk lid is arranged in an intermediate position between the completely closed position and a completely open position; and a control unit, which controls the movement of the retractable hard-top and controls the first actuating device to move the upper covering between the closed position and the open position during the movements of the retractable hard-top; and wherein the control unit, before controlling the first actuating device to move the upper covering from the closed position to the open position, preventively controls the second actuating device to move the trunk lid from the completely closed position to the semi-open position; and wherein the control unit, after having controlled the first actuating device to move the upper covering from the open position to the closed position, controls the second actuating device to move the trunk lid from the semi-open position to the completely closed position; the car is characterized in that: the trunk lid is provided with a lock which comprises a first locking element, integral with the trunk lid, and a second locking element, which is suited to couple with the first locking element and is integral with the upper covering; and the second actuating device is mechanically connected to one of the locking elements (21, 22) of the lock so as to cause one of the locking elements (21, 22) of the lock to move. the trunk lid is provided with a lock which comprises a first locking element, integral with the trunk lid, and a second locking element, which is suited to couple with the first locking element and is integral with the upper covering; and the second actuating device is mechanically connected to one of the locking elements (21, 22) of the lock so as to cause one of the locking elements (21, 22) of the lock to move.