To construct the new infinite sequence soliton-like solutions of the (2+1)-dimension general Calogero-Bogoyavlenskii-Schiff system, the new auxiliary equation that can be changed to the Riccati equation and its new solutions were presented. The new solutions, Bcklund transformation, and the nonlinear superposition formula of solutions of the Riccati equation were presented. Based on these solutions and with the help of Mathematica, the new infinite sequence soliton-like solutions of the (2+1)-dimension general Calogero-Bogoyavlenskii-Schiff system were constructed. The solutions are consisted of exponential function, trigonometric function and rational function.