Theoretical studies of vibrational transportation of bulk material are presented. The dependence of the vibration transportation speed on the frequency and amplitude of oscillations is investigated, as well as the methodology for selecting the optimal law of oscillations of the load-bearing surface of the working element. The differences between the movement of a single layer of real bulk material along the working element of a vibratory conveyor and the movement of a material particle on a vibrating surface are considered. The formula forvibration displacement speed is modified by introducing a correction coefficient that takes into account the air permeability of the material. The necessity of studying the process of vibration transportation based on an elastic-viscous-plastic rheological model of the moving vibratory layer of bulk cargo is justified.