The study investigates the second-order topological insulator (SOTI) properties in ferromagnetic monolayer (FM) and antiferromagnetic bilayer (AFM) CrSBr using first-principles calculations. CrSBr is proposed as a promising candidate for hosting magnetic SOTIs due to its layer-dependent magnetism and topological characteristics. In the monolayer, CrSBr exhibits a ferromagnetic ground state with quantized fractional corner charge in the spin-up channel, resulting in fully spin-polarized corner states. In the bilayer, CrSBr adopts an antiferromagnetic ground state while retaining SOTI properties, with quantized corner charge in both spin channels. The SOTI properties are robust against spin-orbit coupling (SOC) and symmetry-breaking perturbations, enhancing the feasibility of experimental detection. This work identifies CrSBr as a tangible material for realizing 2D magnetic SOTIs, both in FM and AFM phases, and provides a platform to explore the interplay between high-order topological phases and magnetism.The study investigates the second-order topological insulator (SOTI) properties in ferromagnetic monolayer (FM) and antiferromagnetic bilayer (AFM) CrSBr using first-principles calculations. CrSBr is proposed as a promising candidate for hosting magnetic SOTIs due to its layer-dependent magnetism and topological characteristics. In the monolayer, CrSBr exhibits a ferromagnetic ground state with quantized fractional corner charge in the spin-up channel, resulting in fully spin-polarized corner states. In the bilayer, CrSBr adopts an antiferromagnetic ground state while retaining SOTI properties, with quantized corner charge in both spin channels. The SOTI properties are robust against spin-orbit coupling (SOC) and symmetry-breaking perturbations, enhancing the feasibility of experimental detection. This work identifies CrSBr as a tangible material for realizing 2D magnetic SOTIs, both in FM and AFM phases, and provides a platform to explore the interplay between high-order topological phases and magnetism.