A channel machining equipment and a channel machining method allow a wall of an internal curved channel in a workpiece to be conducted. A set of traction lines and guiding bodies are to support the EDM electrode and thus allow an electrode linked with the guide mechanism to substantially move in a central portion of the curved channel to optimize an EDM effect on the wall of the channel. Therefore, a precision machining process (such as grinding, EDM, and so on) can be conducted on the internal curved channel of the workpiece to make it have satisfactory wall roughness and shape precision according to predetermined standards, thereby solving the problem of failure in effectively machining the wall of the curved channel in the workpiece in the prior art.