A sheet-gripping device for sheet-processing machines includes a sheet-gripping member with a sheet-supporting surface of non-elastic material and a counter sheet-gripping member with a counter sheet-supporting surface made of elastic material. The sheet-supporting surface of the sheet-gripping member is formed with a plurality of projections located in first and second rows which extend skew to one another whereby a high uniform effect is attained in holding and transferring sheets being processed in the grippers closed in a vertical direction.
