A theoretic model has been established to describe the cataphoresis dynamics in high repetition rate (HRR) pulsed discharge metal vapor lasers (MVLs). The analytic solutions for transient and steady-state diffusion equations of metal vapor concentration are obtained. The axial distribution processes of metal vapors in HRR pulsed discharge He-Sr+ and He-Cd+ lasers have been calculated. It shows that the axial metal vapor distribution between the metal source and the cathode reaches sufficient homogeneity in about 2s, thus ensuring the stable output characteristics of cataphoresis MVLs.