An electrical heating device for a motor vehicle includes a frame in which is accommodated a layer structure with corrugated-rib elements and heat generating elements. Each heat generating element includes a positional frame which forms a receptacle in which a PTC element is accommodated, and which includes contact plates abutting on two oppositely situated sides of the PTC element. The heat generating element is formed such that the receptacle is sealed and is accessible through at least one inspection channel that is accessible from the outside. The electrical heating device has a sleeve receptacle which is adapted for the sealing accommodation of a connection piece that protrudes from the heat generating element. Also disclosed is a method for the manufacture of an electrical heating device in which the sealing of the heat generating elements is checked.