The invention relates to an installation structure of a horizontal moving oil cylinder in a stepping furnace. The installation structure is characterized in that that a first oil cylinder support and a second oil cylinder support are included and installed on the inner side of the stepping furnace, the first oil cylinder support and the second oil cylinder support are located on the same horizontal plane, and the oil cylinder is connected between the first oil cylinder support and the second oil cylinder support; the first oil cylinder support is connected with a piston rod of the oil cylinder through a first shaft, and the second oil cylinder support is connected with a cylinder body of the oil cylinder through a second shaft. A first shaft sleeve is arranged between the first shaft and the first oil cylinder support, and a first shaft end baffle is arranged at the shaft end of the first shaft. A second shaft sleeve is arranged between the second shaft and the second oil cylinder support, a second shaft end baffle is arranged at the shaft end of the second shaft, and the second shaft end baffle is fixed through a bolt, a first gasket and a second gasket. The installation structure of the horizontal moving oil cylinder in the stepping furnace is compact in structure and suitable for installing the horizontal moving oil cylinder in the stepping furnace.