The invention relates to a rotary drilling rig for angling method construction and a using method thereof, and belongs to the technical field of foundation construction equipment. The rotary drillingrig comprises two rotary drilling rig bodies, a support frame and a transverse movement driving mechanism for driving the rotary drilling rig bodies to move horizontally, wherein the rotary drilling rig bodies are in sliding connection with horizontal sliding rails on the support frame, the support frame comprises a base and a portal frame, water-permeable pile casings are movably arranged on thelower portion of power heads of the rotary drilling rig bodies, and when drilling rods descend, the water-permeable pile casings are driven to descend. According to the rotary drilling rig, the rotaryexcavating drill bodies can be transversely moved and displaced, the hole forming position can be changed without moving the support frame, and the construction efficiency can be improved; during construction, the two rotary drilling rig bodies work simultaneously, so that the construction efficiency can be improved by more than two times; permeable pile casings are adopted for protecting walls,and clear water construction method is adopted, and the underground water quality of the surrounding environment is not influenced; and the rotary drilling rig is particularly suitable for a bridge crane angling method and a trestle lateral angling method without constructing a ground construction sidewalk, the construction environment can be protected, and damage to the environment can be reducedto the maximum extent.