A new method to increase the tooth width and a specific face gear called non-orthogonal asymmetric helical (NAH) face gear is presented, which can avoid pointing by increasing the pressure angle of the driven side. Based on the enveloping process of the asymmetric helical shaper, the tooth surface equation of the NAH face gear is deduced, the effect of shaper parameters on tooth surface morphology is obtained by calculating the vertical deviation point by point. The influence of the pressure angle on the tooth width of NAH face gears is studied, and a practical method to avoid overcutting of tooth root is put forward. A simplified model of the tooth contact analysis (TCA) equations is established, of which the equation variables are reduced from 7 to 4. According to Hertz contact theory, the loaded tooth contact analysis (LTCA) of gears is carried out, and the finite element method is used to verify it. In addition, in order to obtain good contact performance and avoid tooth edge contact, the optimization results of NAH face gear drives are presented.