This paper presents the design and control of a high-speed running bipedal robot, BRAVER. The robot, which weighs 8.6 kg and is 0.36 m tall, has six active degrees, all of which are driven by custom back-driveable modular actuators, which enable high-bandwidth force control and proprioceptive torque feedback. We present the details of the hardware design, including the actuator, leg, foot, and onboard control systems, as well as the locomotion controller design for high dynamic tasks and improving robustness. We have demonstrated the performance of BRAVER using a series of experiments, including multi-terrains walking, up and down 15 slopes, pushing recovery, and running. The maximum running speed of BRAVER reaches 1.75 m/s.