The invention discloses a mine hoist constantly-decelerating safe braking system with double working points, which is designed for further improving the braking performance and the application range of a braking system. The braking system comprises a braking function actuator element, a hydraulic station, a constantly-decelerating closed loop electrical control device and a detection feedback device, as well as a main electric control device which can indentify working situation of lifting or descending of an object according to characteristic parameters of a hoisting system, and can send corresponding command signals to the constantly-decelerating closed loop electrical control device, the electrical control device is provided with double sets of constantly-decelerating closed loop braking control loops, each set of control loop comprises a constantly-decelerating control plate which has a preset corresponding constantly-decelerating working point, the electric control device can control programs by a PLC (programmable logic controller), a working situation selecting control command can carry out selection on the control loops and the constantly-decelerating control plates of theworking situations of lifting and descending, and after receiving safe braking commands sent by the hoisting system, the braking system implements safe braking according to a pre-selected constantly-decelerating working point.