Peridynamics is a particle method with an advantage in fracture simulation of solid bodies. In the fracture simulation, one can easily delete the bonding between the peridynamics particles to model the fracture if the bonding energy reaches a certain criterion such as a release energy rate. In this research, we have examined the applicability of the NOSB peridynamics in orthotropic elasto-plastic materials. The NOSB peridynamics is a variant of peridynamics which allows us to implement any kind of constitutive law to peridynamics framework. To model the plastic deformation, we implemented a return mapping method to our peridynamics code to find the yield surface. Thorough a unidirectional tensile simulation for a rectangular box, we checked peridynamics code can properly realize the constitutive law of an orthotropic elasto-plastic body: we compared the computational results obtained in peridynamics and FEM with different material directions.