The present invention discloses a grouted tubular energy-dissipation unit comprising an inner tube and an outer tube. The inner tube is coaxially inserted into the outer tube defining a gap within a lapping portion of the tubes for receiving expansive cement grout. After solidified, the expansive cement grout forms an expansive ring. A prestress produced by the expansive cement grout increases the friction between the expansive ring and the tubes. In service, the present invention can transfer the axial force via the friction between the tubes and the expansive cement grout. In case of earthquake, the sliding friction between the tubes and the expansive cement grout can absorb energy. The present invention does not require high precise in manufacturing and constructing, saves steel and has low cost. It is only need to replace the grouted tubular energy-dissipation unit when the present invention is damaged in earthquake, which is very convenient.