In order to investigate the formability of the granular medium forming (GMF) based on the Mohr–Coulomb constitutive model with the tri-axial compression test of granular medium and the true stress–strain curves of TA1 titanium alloy from uniaxial tensile tests, the numerical simulation of TA1 titanium alloy sheet deep drawing with finite element method was performed, and the deep drawing tests were also carried out. Simulation analysis and test results show that the GMF process is suitable for titanium alloy sheets and can effectively improve the uniformity of the wall thickness of the formed parts, reduce the tendency of wrinkles, and improve the forming quality. [ABSTRACT FROM AUTHOR]