Evolution of the longitudinal distribution of metal vapor in repetitively pulsed discharge with cataphoretic delivery of vapor is investigated. In particular, the solution of the nonstationary diffusion equation for the metal vapor density, averaged over sufficiently large number of pulses, is derived. Axial distributions of metal vapor at different points in time are calculated. The criteria of homogeneity of such distributions are determined. The time needed for establishment of the homogeneous distribution under conditions typical of repetitively pulsed MVL turns to be sufficiently short (about a second). The obtained results demonstrate much promise for the use of cataphoresis in repetitively pulsed MVL to form the homogeneous active media. They also allow the purposeful selection of the excitation modes providing for a high degree of homogeneity of the media and, consequently, high output characteristics of the lasers.