Facial expression synthesis is important for affective computing. Here, we investigate various facial and expressions features. By abstracting specific organ changes, several principles for the mesh partition of a human face are provided. A new mesh partition technique is then introduced for the synthesis of human expression . By simply positioning, the new technique divides organs of the human faces with polynomial curves. In consequence, every facial organ can be adjusted separately. The existing definition of six basic facial expressions are simplified. With this mesh generation technique, a new method to generate facial expression is obtained. At the same time, we try a step to add skin texture so that the generated expression can be enhanced. Compared with the existing facial expression synthesis methods, the proposed method is simpler in mesh partition, more flexible in parameter setting, and easier to be coded with less computational cost. Subjective evaluation shows that the generated facial expressions have a good visual effect.