Apparatus for shingling a plurality of documents disposed in stacked relation so that the stack extends successively from a first end to a second end, and has at least one boundary defined by substantially coplanar marginal edges of the documents. The stack of documents is conveyed along a predetermined path during which one or more rotatable shingling members engage the coplanar marginal edges of the documents and impart velocity components of progressively increasing magnitude to the marginal edges in a manner to effect movement of the documents into a shingled array. In the preferred embodiments, the rotatable shingling member has a conical shingling surface traversed by the documents in tangential relation so that the velocity components imparted to the marginal edges of the documents lie in the planes of the documents and move them laterally in shingled relation to each other.