Cermet membrane was fabricated with tantalum as hydrogen-permeable metal and $Y_2O_3$-stabilized $ZrO_2$ (YSZ) as ceramic supporter. Ta/YSZ cermet membrane was prepared through pre-sintering in He atmosphere and then main sintering under high vacuum and the impurities to originate from sintering and brazing could be removed by mechanical polishing. As-prepared membrane showed dense structure with continuous channel of tantalum. Hydrogen permeation experiment was conducted in the region of $200{sim}350^{circ}C$ using Ta/YSZ membrane coated with Pd for hydrogen dissociation. The crack in membrane was formed at $300^{circ}C$ and the Pd coating layer has flaked off in spots. XRD results showed that tantalum reacted with hydrogen to form $Ta_2H$. The lattice expansion by $Ta_2H$ caused deterioration for membrane.