The invention provides a double-connecting-rod type energy-feedback damper. An upper sleeve is slidably mounted on a lower sleeve in a sleeving mode, an upper fixed ring and a lower fixed ring are separately fixed into the upper and lower sleeves, a one-way bearing I is mounted between the upper fixed ring and a cylinder on an upper disc, and a one-way bearing III is installed between a cylinder of a lower disc and the lower fixed ring. A shaft of an electric generator located in the lower cylinder is connected to a transmission shaft through a coupling, and the upper end of the transmission shaft penetrates through the lower disc to be connected with a spline hollow rod in a key mode. An outer ring of a one-way bearing II is fixed to a central through hole of the upper disc, and an innerring of the one-way bearing II and the spline hollow rod are fixed through a spline ring. A one-way bearing IV is mounted between the transmission shaft and a central through hole of the lower disc. Two connecting rods are obliquely connected between the upper disc and the lower disc in a hinged mode. The one-way bearing I, the one-way bearing II, the one-way bearing III and the one-way bearing IVhave the same direction of rotation. After external vibration energy is received, the upper sleeve can drive the electric generator to rotate in the same direction when the upper sleeve goes up or down. The double-connecting-rod type energy-feedback damper has the characteristics of good vibration damping performance, high power generation efficiency, small size, simple structure and the like.