A method is provided for fabricating a composite ply layup with a desired shape. The method includes moving a shuttle having a sheet of elastic material into engagement with at least one composite ply at a ply pickup station, and picking up the at least one composite ply with the shuttle. The method also includes transporting the shuttle and the at least one composite ply from the ply pickup station to a forming station, and moving the shuttle and the at least one composite ply into engagement with a forming tool at the forming station or any previously laid plies on the forming tool. The method further includes compacting the at least one composite ply on the forming tool or any previously laid plies on the forming tool with the shuttle to form the composite ply layup with the desired shape.