An additive manufacturing method comprises: positioning a sheet of composite material; curing a predetermined portion of the sheet; cutting the sheet about the perimeter of the predetermined portion to create a preceding processed sheet; adding a successive sheet of composite material atop and in contact with the preceding processed sheet; curing a predetermined portion of the successive sheet such that the predetermined portions of the successive sheet and the preceding processed sheet are bonded together; and cutting the successive sheet about the perimeter of its predetermined portion to create a subsequent processed sheet. The steps of adding, curing and cutting a successive sheet may be repeated for a plurality of cycles to produce a three-dimensional composite product.