In this paper, we study the global boundedness of solutions to a two-species chemotaxis system with nonlinear resource consumption \(\begin{aligned} {\left\{ \begin{array}{ll} u_t=\Delta u-\chi \nabla \cdot (u\nabla w),\,\,& x\in \Omega ,\,\,t>0, \\ v_t=\Delta v-\xi \nabla \cdot (v\nabla w)+\mu (v-v^l), & x\in \Omega ,\,\,t>0, \\ w_t=\Delta w-\frac{u+v}{(1+u+v)^\gamma }w, & x\in \Omega ,\,\,t>0, \end{array}\right. } \end{aligned}\) in the smooth bounded domain \(\Omega \subset \mathbb {R}^n\) with homogeneous Neumann boundary conditions, where the parameters \(\chi ,\,\xi ,\,l,\, \gamma \) are positive constants. We prove that the system possesses a unique global bounded classical solution under a sufficient condition. Moreover, the large-time behavior of the solution is also investigated.