Abstract: The discretization of strain-displacement equation is an important problem in finite element method (FEM) and assumed displacement quasi-conforming FEM. Performance of elements using various discrete algorithms is studied by the formulation of plane elements in quasi-conforming FEM. Theoretical and numerical tests are employed for comparison of elements generated by different parameters. The results show that one strain item can be calculated by choosing different combinations of discrete stain-displacement parameters without affecting the convergence. This conclusion can be used to guide the following quasi-conforming element formulations, and provide a reference for studies on strain-displacement algorithms of finite element formulation in elastic mechanics.