The mechanical properties of metallic strips can be improved by producing an ultra-fine-grained microstructure. The equal-channel angular rolling process is a severe plastic deformation technique suitable for such a purpose. In this article, the effect of the equal-channel angular rolling parameters on the equivalent plastic strain is investigated and their optimum values are reported. The analysis is focused on the following parameters: thickness ratio (K), die channel angle (u), die outer corner angle (c), fillet radius (r), friction coefficient between strip and rolls (m), and friction factor between strip and die (m). Using a combination of the finite element modeling and the response surface methodology with central composite design, a simple and efficient quadratic model is developed to predict the equivalent plastic strain dependence on the equal-channel angular rolling process parameters. The analysis of variance is applied to assess the validity of the model and find the significant parameters. The results show that the die channel angle is the most significant parameter, while the friction coefficient between strip and rolls has no considerable effect on equivalent plastic strain. Moreover, the following optimum values of the parameters are obtained: K = 0.96, u= 90.10°, c= 21.21°, r = 2.31 mm, m= 0.20, and m = 0.19. An increase of about 14.86% in the equivalent plastic strain can be achieved by adopting these values for the process parameters.