A squeeze mode giant electrorheological fluid damper is disclosed. The squeeze mode giant electrorheological fluid damper comprises a support, a container and a connecting structure, wherein the support comprises a bottom plate, guide shafts and a top plate, the guide shaft is vertically fixed on the bottom plate, and the top plate is slidably arranged on the guide shaft; the container comprises a container body and two spiral spring pieces coaxially arranged in the container body, the container body is fixed on the bottom plate, the bottoms of the two spiral spring pieces are fixed to the bottom of the container, the two spiral spring pieces are not in contact with each other and are spaced by 180°; the top of the connecting structure is fixedly connected with the top plate, and the bottom of the connecting structure is fixedly connected with the tops of the two spiral spring pieces.