The purpose of the present paper is to establish a simulation method of the behavior of fresh concrete at its mixing, placing, consolidating, etc. As one of the method to estimate the flow and deformation of fresh concrete, a method of visco-plastic finite element analysis is proposed, and some analytical results are shown in this paper. In the analysis, slip resistance force between boundary surface and fresh concrete can be considered, and the dynamic behavior can be analyzed by calculation of the retardation of velocity change. The results of simulations are in good agreement with those calculated by simple theoretical equations about some examples such as flowing in pipe, parallel-plates plastometer, slump test, and the adequacy of the proposed analytical method is confirmed.