The invention discloses a buffer device for a container bearing a concentrated load and the container, belongs to the technical field of container components, and solves the problem that a container in the prior art bears the local concentrated load, and a reinforcing steel structure is prone to causing relatively large instantaneous vibration to a container body. The buffer device comprises a topplate, an elastic buffer plate, a core plate and an elastic bottom plate, the top plate is fixed on the upper end surface of the elastic buffer plate, the core plate is fixed on the lower end surfaceof the elastic buffer plate, and the elastic bottom plate is fixed on the lower end surface of the core plate. The buffer device can be used for relieving the concentrated load borne by the container.