Abstract: An elevator has deflecting pulleys above or below a car, fastenings for securing the ends of a cogged belt disposed in an upper portion of a hoistway. A machine is formed by a gearless motor on the shaft of which are assembled at least one cogged pulley made of a single part with helical cogs and with a diameter greater than 100 mm. The machine has a support, a brake, an integrated deflecting pulley, and non-slip rollers, all of these elements being mounted on a base. The machine is in a projection of a counterweight. The counterweight is disposed at a side of the hoistway. The cogged belt has steel reinforcement cables embedded in transparent polyurethane and the cogged portion is covered with a textile mesh. This configuration achieves a reduction of noise level and uniform translation of the car.