To provide a stacked-sheet material taking-out device capable of surely and efficiently taking out the sheet materials in a stacked state, one by one.

An auxiliary suction device has a sucking means tilted when it sucks and picks up a corner end part of the uppermost sheet material, and making the corner end part of the uppermost sheet material warp at a specific angle in the separating direction from the sheet material just under the same. The sucking means is vertically movably mounted by the operation of an up-and-down mechanism, and tilted by the specific angle by the motion of a tilting mechanism integrated with a lower part of the up-and-down mechanism. The tilting mechanism is operated when the warping of the sheet material is needed to set the sucking means in a tilted state, and is not operated when the warping of the sheet material is not needed to set the sucking means in a non-tilted state.