The invention discloses an energy-saving hot-water boiler capable of swinging and shaking off furnace slag. The energy-saving hot-water boiler comprises a housing, a purification box, a heating box, abracket and a furnace grate; a plurality of vertical supporting rods distributed uniformly and equidistantly are arranged in the furnace grate in a penetrating manner; horizontal supporting plates are fixed to the upper ends of the supporting rods; supporting springs sleeve the parts, located below the furnace grate, of the outer sides of the supporting rods; a connecting rod swinging on the vertical plane is arranged right below the supporting rods; a horizontal sliding rod is arranged in an extending cavity through a sliding sleeve in a sliding and penetrating manner; a horizontal refiningplate is fixed to the tail end of the sliding rod; and a plurality of spiral pipes are arranged in the heating box. Coal fired filled inside is dispersed through the arranged supporting plates, so that the coal fired is prevented from being stacked together, positions in different heights are formed among the coal fired, the contact between the coal fired and air is facilitated, the coal fired isburnt completely, and a lot of heat is released; and simply the connecting rod is pulled upwards during slag removal, and the operation is time-saving and labor-saving.