On the basis of processing principles of torus-involute gear,the longitudinal modification method based on continuous shifting is used for the pinion in the face gear drive,a modified face gear pair is obtained. At first,based on the differential geometry theory and the space mesh theory,the tooth surface equations of the modified face gear pair are derived. Then,the tooth contact analysis（ TCA） and curvature interference inspection are conducted. The numerical example shows that the proposed novel modified face gear pair has following features of can avoid the occurrence of gear deviation load and can decrease the sensitivity of the contact path to the installation errors,there is no curvature interference at meshing points. At last,based on the finite element method,the loaded tooth contact analysis（ LTCA） is conducted by ABAQUS.