A high-voltage-resistant semiconductor component (1) has vertically conductive semiconductor areas (17) and a trench structure (5). These vertically conductive semiconductor areas are formed from semiconductor body areas (10) of a first conductivity type and are surrounded by a trench structure (5) on the upper face (6) of the semiconductor component. For this purpose the trench structure has a base (7) and a wall area (8) and is filled with a material (9) with a relatively high dielectric constant (εr). The base area (7) of the trench structure (5) is provided with a heavily doped semiconductor material (11) of the same conductivity type as the lightly doped semiconductor body areas (17), and/or having a metallically conductive material (12).