An easy building-up hybrid rotary steerable drilling system includes a front supporting body, a weight-on-bit (WOB)-torque-on-bit (TOB) deflectable transmission joint and a deflection control system. The WOB-TOB deflectable transmission joint includes a universal joint. A front end of the front supporting body is fixedly connected to a drill bit, and a rear end of the front supporting body is fixedly connected to an outlet end of the universal joint. A front push-the-bit assembly is provided on a circumferential surface of the front supporting body. The deflection control system controls radial push-the-bit parts of the front push-the-bit assembly to push a borehole wall along a radial direction of the front supporting body, such that the front supporting body generates a deviation angle relative to an input shaft of the universal joint by taking a center point of the universal joint as a center, thereby controlling a drilling direction.