The invention discloses a slope drilling device for facilitating shale gas exploitation. The slope drilling device comprises a base and a drilling device body. A rotating seat is rotatably mounted atthe right end of the base, and a hydraulic rod is rotatably mounted on the upper side of the base. The telescopic end of the hydraulic rod is rotatably connected with the rotating seat. A first screwis rotatably mounted on the lower side of the rotating base, and a sliding block is connected to the first screw in a threaded mode. One end of the sliding block is slidably connected with the rotating seat, and the other end of the sliding block is fixedly connected with the drilling device body. The drilling device body is composed of a machine frame and a lifting seat. A left screw and a rightscrew are symmetrically and rotatably mounted on the inner side of the machine frame, and the upper ends of the left screw and the right screw are connected in a transmission mode by a belt. The leftand right sides of the lifting seat are separately connected with the left screw and the right screw in a threaded mode, and a second motor is fixedly mounted on the lower side of the lifting seat. Adrill rod is fixedly connected to the output end of the second motor. The slope drilling device continuously changes the position of the drill rod to adapt to different terrains, thereby improving drilling efficiency.