An electromagnetic brake interposed between a fixed housing and a rotating member. The electromagnetic brake includes a multiplate brake mechanism, a ringlike core member fixed in the fixed housing, an annular exciting coil accommodated in an annular groove formed on the core member, and a ringlike armature member opposed to the annular groove of the core member and having an outer diameter larger than the outer diameter of the core member. The electromagnetic brake further includes an annular pressure plate axially and movably mounted on the fixed housing at one end portion of the multiplate brake mechanism adjacent to the core member, and a cylindrical pressure member provided so as to surround the outer circumferential surface of the core member and be movable in a direction of pressing the multiplate brake mechanism as being guided by the core member. One end of the cylindrical pressure member is fixed to an outer circumferential portion of the armature member, and the other end is engaged with the annular pressure plate.