The invention discloses a pipe bending machine and a pipe bending method. The pipe bending machine comprises a guide column body, a fixing piece and a rotating mechanism, wherein a first recess is formed in the side wall of the guide column body; the first recess surrounds the guide column body by taking the axis of the guide column body as a center and is matched with the outer side wall of a pipe; the fixing piece is used for fixing the pipe on the guide column body; the rotating mechanism comprises a driving piece and a propping piece; the propping piece is provided with a second recess which is opposite to the first recess and is matched with the outer side wall of the pipe; and the driving piece is used for driving the propping piece to move along the first recess of the guide column body. According to the pipe bending machine, a pipe clamping end, namely the fixing piece, stays in a fixed state, and a bending forming mechanism, namely the rotating mechanism, dynamically changes to gradually bend the pipe, so that the phenomenon that one end part of the pipe is broken and damaged because the pipe clamping end exerts a large acting force on the end part for a long time can be overcome; and compared with a bending machine in the prior art, the pipe bending machine can produce a higher-quality bent pipe.