Abstract: Cells adhere to each other through the binding of cell adhesion molecules atthe cell surface. This process is fundamental in many areas of biology,including early embryo development, tissue homeostasis and tumor growth.Considering the free motion of cells, the adhesion-force between cells andthe natural growth of cells, the paper developed series of mathematicalmodels. Through numerical simulation with the case of 2 Groups in 2D, we can simulate the wholeprocess of cells adhesion and the ultimate form of cells adhesion, usingdifferent parameters, can be divided into four categories, including mixing,engulfment, partial engulfment and separation. The result is close to theexperimental result, so it shows that the model can forecast the phenomenonof cells adhesion well.