The invention discloses an electromagnetic brake, a friction piece thereof and a friction piece manufacture method. The electromagnetic brake comprises an iron core assembly, a magnetic roof assembly, a friction member and a manual brake release assembly, wherein the magnetic roof assembly comprises a magnetic roof; the manual brake release assembly comprises a bolt; the iron core assembly comprises an iron core bottom plate, an iron core outer ring, an iron core inner ring, a coil and a skeleton; the friction member is arranged on the outer side surface of the magnetic roof; the friction member and the magnetic roof are transversally positioned; the friction member is made of metal; the middle part of the outer side surface of the magnetic roof concaves inwards to form a spherical surface shape; the middle part of the outer side surface of the friction member convexes outwards to form the spherical surface shape which fits the inwards concave spherical surface part of the outer side surface of the magnetic roof, or, the middle part of the outer side surface of the magnetic roof outwards convexes to form the spherical surface shape, and the middle part of the outer side surface of the friction member concaves inwards to form the spherical surface shape which fits the outwards convex spherical surface part of the outer side surface of the magnetic roof. The electromagnetic brake has the advantages of big braking force, stable and reliable braking, convenient and simple assembly, energy saving, fast release, short time delay, low noise and the like.