To shorten the working time required for finishing a turbine blade edge.

This finishing device of the turbine blade edge is constituted by having a blade holding device 1A to oscillate a blade 60 around a horizontal shaft by holding both ends of the turbine blade 60 and a polishing device 1B to polish an edge 60a of the blade 60 by reciprocating along the blade 60 while pushing a disc type buff 23 for polishing provided free to rotation the edge 60a, and the polishing device 1B is constituted by having a laterally moving device 6 to move the buff 23 for polishing along the blade 60, a longitudinally moving device 9 to make the buff 23 for polishing approach and separate from the turbine blade 60 and a pressurizing device 20 to press the buffer 23 for polishing provided on the longitudinally moving device 9 on the turbine blade 60 with adjustable pressurizing force.