This paper reports on a theoretical study of transmission errors in anti-backlash conical involute gear transmissions. Such transmissions are used to reduce or eliminate the backlash in mechatronic products such as industrial robots and thereby improving system stability. A global–local finite-element (FE) approach reduced the total computation time needed to solve the non-linear contact problems. This approach yields a dense FE mesh in the contact regions and a coarse mesh in the rest of the teeth.