An engine starter comprises an elongated pinion shifter unit 23 axially slidably mounted on an output rotary shaft 21 coupled to a d.c. motor for rotation therewith, and includes a pinion 8 mounted at a first end of the unit and a unidirectional clutch 6 disposed at a second end. A first sleeve bearing 24 is disposed between the first end of the pinion shifter unit and the output rotary shaft, and a second sleeve bearing 25 is disposed between the second end of the pinion shifter unit and the output rotary shaft. The first and the second sleeve bearings are spaced apart from each other, and the first sleeve bearing is made of a material wear resistant under a relatively large load, such as an iron-based material, and the second sleeve bearing is made of a material wear resistant under a high speed rotation condition, such as a copper-based material. Either one of the first and second sleeve bearings may have an inner diameter slightly greater than an outer diameter of the output rotary shaft at the position supported by the one of the sleeve bearings, so that a smooth axial sliding movement of the pinion shifter unit along the output rotary shaft is allowed even when the output rotary shaft is bent.