The two different modes of bulk crystal growth by liquid phase electroepitaxy: (i) constant electric current density, and (ii) constant crystal growth velocity, have been analyzed by employing one dimensional mass transport model. In a constant current density mode, the growth velocity as a function of time is found to be of the form: V(t) = V 0 exp(t/t 0 ), with a characteristic time constant, t 0 , entirely defined by the initial growth conditions. The t 0 parameter can be varied from a few days to a few hours, depending on the intensity of convection in the melt and the initial current density. For an extended period of the growth time, while growing bulk crystals by liquid phase electroepitaxy (LPEE), exponentially increasing growth velocity may result in deteriorated growth interface stability and dendrites, in accordance with experimental data. When the growth velocity is expected to remain constant, while growing compositionally uniform bulk crystals by LPEE, the current density should be varied with time in the following manner: J = J 0 (1 + t/t 0 ). In this growth mode, the Joule heat produced in a growing crystal is gradually decaying with time, thus, bulk crystals of virtually unlimited thickness are feasible by LPEE. The above model is particularly suitable in optimizing the LPEE growth parameters when rotation of the substrate and/or source material is employed.