Abstract: A housing for a small electrical machine, particularly a small electric motor, forms a part of the magnetic circuit of the same and is composed of a cylindrical wall of a magnetoconductive material and a sheet-metal strip which is also constituted by a magnetoconductive material and is bent about the cylindrical wall. A method of manufacturing of the housing includes the steps of bending a sheet-metal band so as to form the cylindrical wall, and bending the sheet-metal strip about the thus-bent sheet-metal band so that the latter serves as a mandrel. The sheet-metal band may be bent on a primary mandrel and temporarily retained on the latter so that the sheet-metal strip is then bent about the band when the latter is still retained on the primary mandrel. End portions of the sheet-metal band and the sheet-metal strip may be connected with one another along the same generatrix of the cylindrical wall.