A CMTP yield function considering texture-component information is directly used in finite element code ABAQUS, taking friction and blank holder force into account, to simulate the earing of 3104 aluminum alloy sheet during deep drawing. The predictions obtained from CMTP yield function are compared with those from Barlat 1991 yield function and experimental earing profiles. The thickness variation induced by deep drawing is also described. Further improvements in the accuracy of the simulations are also discussed. Reasonable agreement is obtained between the predictions from CMTP yield function and the measured earing profiles. The predictions of earing behavior of 3104 aluminum alloy sheets from CMTP yield function is more accurate than from Barlat 1991 yield function. The thickness variation of blank in the simulation is accorded with the practice process, which shows increasing the friction and blank holder force enable the height of earing to increase.