An apparatus for cutting a sheet-shaped material, comprises the first blade, the second blade, the first holding members and the second holding members. The second blade is disposed to face the first blade so that a sheet-shaped material to be cut is placed between the first blade and the second blade. The first holding members are disposed on the opposite sides of the first blade, respectively. Each of the first holding members has a cushioning property by which each of the first holding members is elastically deformed to press the sheet-shaped material during cutting operation. The second holding members are disposed on the opposite sides of the second blade, respectively. Each of the second holding members has a cushioning property by which each of the second holding members is elastically deformed to hold the sheet-shaped material during cutting operation. The first holding members and the second holding members hold the sheet-shaped material from the opposite surfaces thereof when cutting the sheet-shaped material by means of the first and second blades.