Metasurfaces are artificial surfaces composed of sub-wavelength unit structures, demonstrating tremendous potential for manipulating electromagnetic waves. Catenary electromagnetics provides new ideas and methods for the design of metasurfaces. This paper proposes a multifunctional dichroic metasurface based on a catenary structure, capable of selectively absorbing electromagnetic waves in different directions. Simulation results show that the device can achieve 92% Linear Dichroism (LD) and 96% Circular Dichroism(CD) in the infrared region. Both functions can be realized simultaneously by merely changing the incident direction of the electromagnetic waves, and both functions have high efficiency within a certain range of incident angles. In addition, the influence of different geometric parameters on the absorption performance is analyzed, as well as the physical mechanisms for selective absorption of different electromagnetic waves. This metasurface has the advantages of simple structure, easy integration, and a wide range of applications, and has potential application prospects in the fields of imaging, sensing, and spectroscopy.