The invention relates to a fin condensation pipe with liquid suction core bodies, comprising a heat exchange pipe body, fins on an outer surface and a spiral conduit in the pipe body; the fin condensation pipe with the liquid suction core bodies is characterized in that rectangular or square gaps which extend along the axial direction of the heat exchange pipe body are arranged in the centers of the lower half parts of the fins on the outer surface; liquid suction core bodies which are made of metal wire meshes are arranged in the gaps and form rectangular or square strip shapes continuously; and the liquid suction core bodies and the heat exchange pipe body are tightly contacted and fixed together. According to the asymmetric fin condensation pipe, the defects of a conventional condensation pipe are overcome, so that the liquid is drained from the condensation heat pipe more quickly, the liquid membrane thickness of the condensation heat exchange pipe is reduced, and better heat exchange efficiency is achieved.