The two-dimensional(2D) magnetic materials have attracted extensive research interests, not only because of their novel physical properties induced by quantum confinement, but also for their promise for spintronic devices. Chromium thiophosphate (CrPS₄) is a promising ternary antiferromagnetic semiconductor with a Neel temperature of 36 K. We synthesized CrPS₄ single crystals by chemical vapor transport method and performed spectroscopy study at different temperature. The spectra at low temperature showed an asymmetric Fano-resonance shape, which can be explained by coupling between a discrete state and continuum state. This is the first observation of Fano resonance in 2D magnetic materials in near infrared spectrum region. Moreover, we also studied Fano resonance of layered CrPS₄ on dependence of magnetic field, excitation power, laser polarization, etc. Our findings may provide insight of the electronic transition of CrPS₄, which is related to its intrinsic magnetic properties.