Based on the approach of mode decomposition, the influence of the longitudinal shift of the entrance plane on the propagation properties of beams in strongly nonlocal nonlinear medium is analyzed. The shift of the entrance plane changes the order and the longitudinal position of beam patterns in a period, the size of patterns, and the radius of the cophasal surface. These properties can be described with a simple mathematical equation, therefore the beam solution after the entrance plane is shifted can be easily obtained from that before the entrance plane is shifted.