In a shift control system of an automatic transmission for a vehicle, an engaging torque applied to a predetermined friction element that has been engaged to establish a predetermined gear stage of the automatic transmission during running of the vehicle is gradually decreased to generate a slip in the predetermined friction element. Based on the engagigng torque of the friction element and a command value output to generate the engaging torque to the friction element, a predetermined relationship used for determining the command value for generating a required engaging torque is corrected. Learning quality or accuracy with respect to the predetermined relationship between the engaging torque of the friction element and the control value for generating the engaging torque may be sufficiently ensured.