A machine for assembling wood flooring intermittently advances rows of wood fillets lengthwise along side-by-side paths. Glue is applied to opposed longitudinal sides of the fillets in adjacent rows, and a strip of compressible material is inserted between the glue-bearing fillet surfaces. The rows converge and the fillets are pressed together to join the fillets and the cushion material. The pressing preferably occurs at a station where glue is simultaneously applied to other rows of fillets. Each glue applicator has an outwardly-directed face for applying glue to the fillets as they slide by the face, and the face is apertured with a recess which contains glue supplied from a pressured source.