Abstract: The drilling motor is provided that operates pursuant to the Moineau principle for drilling deep holes or wells in the ground. A helically extending rotor is disposed in a stator having a rigid shell that is provided on the inside with an inwardly helically extending lining of elastomeric material for receiving the rotor. The shell has essentially cylindrical end sections having an inner thread for securement of connection elements of the drilling motor. The portion of the shell disposed between the end sections extends helically in conformity with the lining such that at least the lining has an essentially uniform thickness over the length of this portion, which has an outer diameter that is less than that of the end sections. Between the end sections, the shell has a thickness that is less than that of the end sections.