The GH3536 (Hastelloy-X) nickel-based superalloy is increasingly applied in the aerospace industry due to its exceptional combination of excellent oxidation resistance and high-temperature strength. Laser powder bed fusion (LPBF) is an additive manufacturing (AM) technology for producing metallic components with complex shapes using layer-by-layer manufacture principle. The debate has long prevailed as to research on eliminating anisotropy in the forming of GH3536 alloy through LPBF technology. In this study, the anisotropy of microstructure and mechanical properties of GH3536 alloy formed by LPBF was investigated using different scanning strategies (0°, 90°, 67°, checkerboard, and contour). The scanning strategy was optimized to reduce the weaving differences between the horizontal and vertical directions of the microstructure of the LPBF formed GH3536 alloy, which in turn reduces the anisotropy of the properties in both directions. The results of the tensile specimens indicate that except for the horizontal specimens produced using the contour scanning strategy, the strength of all other specimens exceeds that of the vertical specimens. Additionally, differences in elongation are observed, demonstrating that the GH3536 alloy fabricated via laser powder bed fusion exhibits anisotropic properties. According to electron backscatter diffraction (EBSD) analysis, the grain boundary strengthening and geometrically necessary dislocations (GNDs) impede dislocation motion during tensile deformation along the horizontal direction. Consequently, this mechanism negatively affects both the tensile strength and ductility in that orientation. The anisotropy in tensile strength and plasticity is attributed to the different crack sensitivities in the two tensile directions. In addition, specimens molded using different scanning strategies exhibit varying degrees of anisotropy, strength, and elongation due to different degrees of texture strengthening, grain boundary strengthening, and dislocation strengthening effects. Regardless of the stretching direction, the combined tensile properties of the 0° and contoured specimens are the worst under the room temperature and 815 °C stretching conditions. The 67° specimens exhibit the best combined tensile properties. Therefore, the anisotropy of the mechanical properties of the LPBF formed GH3536 alloy can be positively mitigated by modulating the scanning strategy.