We investigate theoretically quantum transport through a single barrier on monolayer MoS2. It is found that the transmission properties of spin-up (down) electrons in the K valley are the same as spin-down (up) electrons in the K′ valley due to the time-reversal symmetry. Generally, the transmission probability for transport through an nnn (or ppp) junction is an oscillating function of incident angle, barrier height, as well as the incident energy of electrons. The present transmission shows a directional-dependent tunneling depending sensiti...