Based on the precessional bevel gears with a small shaft angle, a number of drives for oil and gas equipment have been developed. They are characterized by high efficiency (about 0.9) and a small starting torque. Due to multi-pair tooth meshing they have a higher load capacity as compared to other types of gears, which provides a safe drive operation in the Far North. Currently, the most studied gears are bevel gears with a small shaft angle with double-concave-convex teeth. However, the process of gear cutting for such gears is extremely complicated - the machine has to be reset four times. The cutting technology can be simplified by using gears with a non-generated gear and a generated pinion. The article provides calculations of the lines of action in meshing and the principal reduced curvature for a straight bevel gears with a small shaft angle with a non-generated gear and a generated pinion, geometrical characteristics necessary for determining the contact stress arising in tooth meshing and for developing methods of calculating the gear load capacity.