System for sliding a door provided with rolling mechanisms (116, 117), the system comprising: - a bottom slide rail in the shape of a housing adapted to be placed on the ground and having: - a top surface having a longitudinal slot adapted to receive the rolling mechanisms (116, 117), and - an inner wall arranged parallel to the top surface such that the housing comprises, on the one hand, a sliding corridor that lies between the longitudinal slot in the top surface of the housing and the inner wall of the housing and, on the other hand, a bottom compartment, - a connecting lug adapted to be attached to a bottom portion of the door, whereby the connecting lug can slide in the longitudinal slot, and - a drive device (110, 700) suitable for exerting a driving force on the connecting lug in order to cause the connecting lug to slide in the longitudinal slot, the drive device comprising: - a looped band, one segment whereof is connected to the connecting lug, - a pair of pulleys (704, 705) retaining the looped band, - a motor having a drive shaft coupled to a pulley of the pair of pulleys, such that a rotational movement of the drive shaft of the motor causes a linear movement of the connecting lug, the system being characterised in that the pair of pulleys (704, 705) is connected to the inner wall of the housing, such that the band passes through the sliding corridor and the bottom compartment of the housing. - a bottom slide rail in the shape of a housing adapted to be placed on the ground and having: - a top surface having a longitudinal slot adapted to receive the rolling mechanisms (116, 117), and - an inner wall arranged parallel to the top surface such that the housing comprises, on the one hand, a sliding corridor that lies between the longitudinal slot in the top surface of the housing and the inner wall of the housing and, on the other hand, a bottom compartment, - a top surface having a longitudinal slot adapted to receive the rolling mechanisms (116, 117), and - an inner wall arranged parallel to the top surface such that the housing comprises, on the one hand, a sliding corridor that lies between the longitudinal slot in the top surface of the housing and the inner wall of the housing and, on the other hand, a bottom compartment, - a connecting lug adapted to be attached to a bottom portion of the door, whereby the connecting lug can slide in the longitudinal slot, and - a drive device (110, 700) suitable for exerting a driving force on the connecting lug in order to cause the connecting lug to slide in the longitudinal slot, the drive device comprising: - a looped band, one segment whereof is connected to the connecting lug, - a pair of pulleys (704, 705) retaining the looped band, - a motor having a drive shaft coupled to a pulley of the pair of pulleys, such that a rotational movement of the drive shaft of the motor causes a linear movement of the connecting lug, the system being characterised in that the pair of pulleys (704, 705) is connected to the inner wall of the housing, such that the band passes through the sliding corridor and the bottom compartment of the housing. - a looped band, one segment whereof is connected to the connecting lug, - a pair of pulleys (704, 705) retaining the looped band, - a motor having a drive shaft coupled to a pulley of the pair of pulleys, such that a rotational movement of the drive shaft of the motor causes a linear movement of the connecting lug, the system being characterised in that the pair of pulleys (704, 705) is connected to the inner wall of the housing, such that the band passes through the sliding corridor and the bottom compartment of the housing.