The steam reforming of dimethyl ether to hydrogen rich gas was investigated over hybrid catalysts of copper based mixed oxides and solid acids ($\gamma-Al_2O_3$, Al-SBA-15). The effects of acidity and reaction temperature on the catalytic activity was investigated under atmospheric pressure, space velocity of $24000ml/g_cat$hr and molar ratio $n_H2O/n_DME=4$. Among the hybrid catalysts tested hybrid catalyst of $CuO/Ga_2O_3$ mixed with $\gamma-Al_2O_3$ showed better dimethyl ether conversion and hydrogen yield. The hybrid catalysts are characterized by X-ray diffraction, nitrogen adsorption/desorption, ammonia temperature programmed desorption and $N_2O$ decomposition method.