A high-voltage pulse generator based on a spiral pulse generator, wherein the spiral pulse generator is implemented as an LTCC component and is wound from at least two ceramic and at least two metal-containing layers, and the high-voltage pulse generator can be introduced into a cylindrical volume V=d2*π*3*d whose length is three times as long as the diameter of the volume, and the volume of the high-voltage pulse generator is greater than one-third of the cylindrical volume. Also disclosed is a high-pressure discharge lamp having a tubular outer piston, wherein the outer piston of the high-pressure discharge lamp has an aforesaid high-voltage pulse generator.