Abstract: Based on an existing constitutive model of shape memory alloys, a formulation of incremental finite element is derived and the calculation is done on a computer. Numerical examples of a rod and an infinite panel with a circular hole, both under uniaxial tension, are analyzed with the derived formulation and tested. It is shown that the numerical results are in agreement with the experimental results. Finally deformation of a shape memory cantilever beam caused by temperature change is simulated.