A hydraulic rolling-cut shears, including: a horizontally disposed hydraulic cylinder; a shear mechanism including an upper tool post and a lower tool post; a linkage mechanism including a first upper connecting rod, a first lower connecting rod, a second upper connecting rod, a second lower connecting rod, and a synchronous connecting rod; and supports including a hydraulic cylinder support and a guiding rod support. The hydraulic cylinder is hinged to and disposed on the hydraulic cylinder support through a first pin. One end of the first upper connecting rod, one end of the first lower connecting rod, and one end of the synchronous connecting rod are hinged to one end of a piston rod of the hydraulic cylinder via a second pin. The first upper connecting rod, the synchronous connecting rod, and the first lower connecting rod are disposed at one side of the hydraulic cylinder support.