Installation for transporting vehicles between at least two stations (20, 120) with a main continuously-running cable, each station comprising - disengaging means and engaging means respectively for uncoupling and coupling the vehicles and the cable, - a transfer circuit along which the vehicles travel in an uncoupled state, including a deceleration section (21, 121) and an acceleration section (23, 123) for the vehicles, as well as an intermediate section (22, 122) provided with driving means for the vehicles at a reduced speed, along at least one disembarking and/or embarking platform (30, 40), the installation moreover including grouping means for forming groups (10-1,..., 10-n) having a predetermined number of vehicles, - the different groups of vehicles (10-1,..., 10-n) being formed directly along the main cable, two successive vehicles (10-11, 10-12; 10-21, 10-22;...; 10-n1, 10-n2) belonging to a same group being separated by a first predetermined distance (d), whereas two successive vehicles (10-12, 10-21; 10-22, 10-31; 10-32, 10-41) belonging to two different groups are separated by a second predetermined distance, which is greater than the first distance, - the installation moreover including control means, suitable for deactivating the driving means of the intermediate section during an embarking/disembarking phase, in order to immobilize a first group of vehicles (10-1, 10-2) at a given platform (30, 40), then for activating the driving means in order to move said first group away and to allow to replace the first group with the following group (10-2, 10-3), characterized in that it comprises motor means allowing to provide the vehicles with different speed profiles along the installation so that the first predetermined distance (d) between two successive vehicles (10-12, 10-21; 10-22, 10-31; 10-32, 10-41) of a same group corresponds to a constant time interval (t) at any point on the main cable, as well as in the deceleration (21, 121) and acceleration (23, 123) sections, and in the intermediate section (22, 122). - disengaging means and engaging means respectively for uncoupling and coupling the vehicles and the cable, - a transfer circuit along which the vehicles travel in an uncoupled state, including a deceleration section (21, 121) and an acceleration section (23, 123) for the vehicles, as well as an intermediate section (22, 122) provided with driving means for the vehicles at a reduced speed, along at least one disembarking and/or embarking platform (30, 40), - the different groups of vehicles (10-1,..., 10-n) being formed directly along the main cable, two successive vehicles (10-11, 10-12; 10-21, 10-22;...; 10-n1, 10-n2) belonging to a same group being separated by a first predetermined distance (d), whereas two successive vehicles (10-12, 10-21; 10-22, 10-31; 10-32, 10-41) belonging to two different groups are separated by a second predetermined distance, which is greater than the first distance, - the installation moreover including control means, suitable for deactivating the driving means of the intermediate section during an embarking/disembarking phase, in order to immobilize a first group of vehicles (10-1, 10-2) at a given platform (30, 40), then for activating the driving means in order to move said first group away and to allow to replace the first group with the following group (10-2, 10-3),