In construction practice members subjected to biaxial bending are often encountered, however, for fiber reinforced concrete members, the task of strength evaluation is not regulated by modern normative documents and, moreover, has not previously been considered in our country. Investigations carried out by a number of authors have created the prerequisites for the possibility of using high-strength reinforcement without prestressing in flexural members. In this article, an attempt is made to use high-strength reinforcement in fiber reinforced concrete members under biaxial bending without prestressing. The problem of numerical investigation of reinforced concrete and fiber reinforced concrete members subjected to biaxial bending in the ANSYS software is solved. The research models are described: characteristics of materials, types of final elements, the sizes, the scheme of loading and support of reinforced concrete and fiber reinforced concrete members. The problem is solved in a nonlinear statement. The obtained data characterizing the stress-strain state of the reinforced concrete and fiber reinforced concrete members subjected to biaxial bending are analyzed. The results of numerical simulation of reinforced concrete and fiber reinforced concrete members are compared. The change in the position of the neutral axis and the load-bearing capacity with increasing angle of inclination of the plane of loading is considered. In conclusion, the results of the study are presented.