Based on the photorefractive media, the propagation properties of hollow sinh-Gaussian beams are investigated by using the finite difference method. The intensity envelopes of hollow sinh-Gaussian beams with different beam orders are obtained, and the hollow region becomes larger as the increasing of beam orders. The influence of beam orders and nonlinear parameters on the propagation pattern of beams is analyzed. When the beam order is 2, the hollow sinh-Gaussian beam presents the periodic focus-behavior and the focusing intensity ratio gradually becomes weaker within a certain transmission distance. With the increasing of nonlinear parameters, the first focusing distance decreases gradually, but the focusing intensity ratio increases. When the beam order is 3, the focus-behavior of beams presents only once and the beam shows spotty pattern. When the beam order is 5, the first focusing distance and the focusing intensity ratio increase further. All the results show that the propagation properties of hollow sinh-Gaussian beams can be controlled flexibly by adjusting beam orders and nonlinear parameters.