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In this paper, the Finite Element Method (FEM) is used to investigate the tread profile effects on the performance of the cellular shear band-based non-pneumatic tire when interacting with sand for the NASA's new Moon mission. This non-pneumatic tire consists of three major components: a critical cellular shear band, two inextensible circumferential membranes, and a group of deformable spokes. The cellular shear bands made of an aluminum alloy (AL7075-T6), are designed to have the same effective shear modulus of 6.5E+6 Pa. In this research, the shear band with cellular geometry of (θ = -65°, h = 21) is used. The Lebanon sand found in New Hampshire is used in this research and Drucker-Prager/Cap plasticity constitutive law with hardening is employed to describe the behavior of the sand. The tire and treads with different profiles are treated as deformable elastic bodies.