The invention discloses a vibration isolation and reduction bracket for cable structures, comprising a support member (1), a vibration isolator (3), a hydraulic vibration reducer (6), a spring (7), a regulating nut (5), and a connecting pedestal (4). An adjustable combined vibration reducer (B) is composed of the spring (7), the hydraulic vibration reducer (6) inside the spring and the regulating nut (5), wherein the spring (7) provides support force, stiffness and reset ability, the regulating nut (5) regulates the length of the spring (7) to ensure that there is no tensile stress at a support member the root (A) in the balanced position, and the hydraulic vibration reducer (6) plays a role in in-plane buffer, displacement control, energy consumption and vibration reduction. The vibration isolator (3) produces shear deformation and consumes energy, and can reduce out-of-plane longitudinal vibration caused by action of the support member (1). By adopting the vibration isolation and reduction bracket for cable structures, fracture or fatigue damage of the support member root (A) caused by in-plane and out-of-plane three-direction vibration is solved, the redundancy of cable structures is enhanced, and the safety and using performance of a supported structure (2) are improved.