Abstract: In the manufacture of a trench-gate semiconductor device, for example a MOSFET or an IGBT, a starting semiconductor body (10) has two top layers (13, 15) provided for forming the source and body regions. Gate material (11′) is provided in a trench (20) with a trench etchant mask (51, FIG. 2) still present so that the gate material (11′) forms a protruding step (30) from the adjacent surface (10a) of the semiconductor body, and a side wall spacer (32) is then formed in the step (30) to replace the mask (51). The source region (13) is formed self-aligned with the protruding trench-gate structure with a lateral extent determined by the spacer (32, FIG. 5), and the gate (11) is then provided with an insulating overlayer (18, FIG. 6).