The invention discloses a numerical control machine tool capable of moving quickly in the technical field of numerical control machine tools. The numerical control machine tool capable of moving quickly comprises a machine tool base, a machine tool main body, moving mechanisms, a waste liquid collecting mechanism, a liquid outlet mechanism and a liquid cleaning mechanism, the machine tool body is fixedly connected to the top of the machine tool base, the moving mechanisms are fixedly connected to the front side and the rear side of the bottom of the machine tool base, and the waste liquid collecting mechanism is fixedly connected to the top of an inner cavity of the machine tool base through bolts. The numerical control machine tool capable of moving quickly is reasonable in structural design, the function that the numerical control machine tool can move freely is achieved, extra corresponding instruments are not needed for assistance, the operation steps of workers are fundamentally simplified, unnecessary cost input is avoided, it is convenient for workers to observe working conditions in the interior of the numerical control machine tool, and the working efficiency of the numerical control machine tool is improved; and meanwhile, recycling, filtering and reusing can be carried out on cooling liquid, so that excessive waste of water resources is reduced to a great extent, and pollution to the surrounding environment is further avoided.