The paper introduces the results of an experimental study of the mechanical characteristics of 3D printed ABS plastic ABSplus-P430 samples under tension. These 3D printed samples differ in the orientation of the material layers, formed by the position of the samples when printed, and the print raster pattern. During the tests, the material showed isotropic properties in terms of Young’s modulus and anisotropic properties for elongation at break, yield strength, and ultimate strength. We revealed that the print orientation relative to the direction of the applied load significantly affects the strength of the tested samples. Using the obtained test results, the specified parameters of the bilinear model of the material were identified by performing a series of computational studies using computer finite element models of material samples. The found parameters of the bilinear model of the material can be used to carry out computational estimation of the strength and bearing capacity of ABS plastic products manufactured by 3D printing. The results obtained also make it possible to develop recommendations for the orientation of products in the printing area according to the criterion of ensuring the greatest strength, taking into account the loading mode of the product.