A novel finite element (FE) connected with orthogonal finite functions (OFF) was developed for ANSYS software and was tested. The FE is proposed for modeling and investigation of stress-strain states of homogeneous and heterogeneous elastic materials. The efficiency of the developed FE is demonstrated using the examples of plane problems of elasticity. The accuracy of this FE was found to be higher than that of the classical FE of ANSYS. Moreover, the developed FE was proved to require less computational time, and this difference in computational time increases with the increasing number of FE in the model.