The invention relates to an electromagnetic brake and a method for making an electomagnetic brake. The electromagnetic brake comprises a frame part, an armature part movably mounted on the frame part and having a magnetic core, one or more spring elements for activating the brake by moving the said armature part forwards, an electromagnet fitted to the frame part and arranged to release the brake by pulling the said armature part backwards by resisting the said one or more spring elements, and a planar, elastically bendable damping plate fitted to be bent when the armature part is moving and, while being bent, to produce a damping force resisting the bending to dampen brake noise.