Most ghost imaging experiments and theories have addressed the transmissive object, which simplifies the procedure of imaging analysis. However, reflective ghost imaging is more valuable in application, such as in the remote sensing technology. The high-order reflective ghost imaging with an incoherent, uniformly bright thermal light is studied. The expressions of the cross-correlation function, image visibility, and signal-to-noise ratio for the high-order reflective ghost imaging is presented. Compared with the results of the second-order reflective ghost imaging, the effect of the order number on the performance of high-order reflective ghost imaging is discussed. The results show that the visibility of high-order reflective ghost imaging is enhanced while the signal-to-noise ratio decreases with the bigger order. And the signal-to-noise ratio can be improved by increasing the measurements in implementation.