Abstract: A reciprocating stacker for relatively narrow, thin, and flexible continuous strip material provides for the stacking of such material in evenly distributed layers on a pallet or the like. The machine includes a distribution or feeder head which receives the strip material from a conveyor and distributes it evenly on the pallet. The head reciprocates or oscillates in a first direction to lay the material out in a zig-zag or accordion fold configuration, while simultaneously translating in a second direction normal to the first direction, to distribute the material evenly laterally across the surface. When a complete layer has been formed, the machine turns the pallet by ninety degrees so the orientation of the next layer is normal to the orientation of the immediately underlying layer. The process continues, with the feeder head being raised to maintain a substantially constant distance between the head and the underlying surface, until the stack is completed.