The shear plastic deformation behavior of a material during equal-channel angular extrusion (ECAE) is governed primarily by the die geometry, the material properties, and the process conditions. This paper employs the rigid-plastic finite element (FE) DEFORM(superscript TM) 2D software to investigate the plastic deformation behavior of Ti-6Al-4V titanium alloy during ECAE processing. Under various ECAE conditions, the FE analysis investigates the damage factor distribution and the effective stress-strain distribution. The relative influences of the internal angle between the two die channels and the friction factors are systematically examined. Finally, two sets of mold and die (including φ=90º and φ=120º) for ECAE are designed to compare the simulated data.