Stator of an electrical machine includes a stator lamination stack, having coil forms fastened thereto which each include an electrical coil. The coil forms are each pressed onto a tooth of the stator lamination stack. For the fastening of the coil forms to the teeth of the stator lamination stack, at least one fastening element is provided at the two end faces of the stator lamination stack, which fastening element includes a fastening arrangement which cooperate in a form-locking manner and/or force-locking with coil forms.