The observation of magnetic ordering in atomically thin CrI 3 and Cr 2 Ge 2 Te 6 monolayers has aroused intense interest in condensed matter physics and material science. Studies of van de Waals two-dimensional (2D) magnetic materials are of both fundamental importance and application interest. In particular, exciton-enhanced magneto-optical properties revealed in CrI 3 and CrBr 3 monolayers have expanded the understanding of exciton physics in 2D materials. Unlike CrI 3 and CrBr 3 with out-of-plane magnetization, CrSBr has an in-plane magnetic moment, therefore, providing a good opportunity to study the magnetic linear dichroism and high order magneto-optical effects. Here, based on many-body perturbation method within density-functional theory, we have studied quasiparticle electronic structure, exciton, and optical properties in CrSBr monolayer.Strongly bounded exciton has been identified with the first bright exciton located at 1.35 eV, in good agreement with experiment of photoluminescence (Nat. Mater. 20, 1657 ( 2021)). Strong contrast in the optical absorption is found between the electric fields lying along the in-plane two orthogonal directions. In accordance to typical and realistic experimental setup, we show that the rotation angle of linear polarized light, either reflected or transmitted, could be comparable with those revealed in black phosphorene. Such a large linear dichroism arises mainly from anisotropic in-plane crystal structure. The magnetic contribution from the off-diagonal component of dielectric function to the linear dichroism in CrSBr is negligible. Our findings not only have provided a deep understanding of exciton-enhanced optical process in low-dimensional materials, but also have shown the potential applications of CrSBr in 2D optics and optoelectronics.