The invention discloses a sleeve restraint anti-buckling support provided with staggered pyramid-shaped energy dissipation units. The sleeve restraint anti-buckling support provided with the staggered pyramid-shaped energy dissipation units is characterized in that the sleeve restraint anti-buckling support is composed of end restraint sections, energy dissipation sections and a sleeve, and the two ends are connected with beam or column components or joints in a whole through bolts, so that the purpose of increasing the resistant-lateral rigidity of a component is achieved. By the adoption of the sleeve restraint anti-buckling support provided with the staggered pyramid-shaped energy dissipation units, under the small shock action, the sleeve restraint anti-buckling support can be kept elastic; and under the medium or great shock action, the energy dissipation sections are switched to the buckling stage, and a damper effect can be achieved through the good hysteretic energy dissipation performance of the energy dissipation sections. The sleeve restraint anti-buckling support provided with the staggered pyramid-shaped energy dissipation units can be prefabricated in a factory, the quality of the component is guaranteed, the field construction workload is reduced, energy is saved, and environmental friendliness is achieved.