A plasma gaseous reaction apparatus including a reaction chamber, a system for supplying reaction gas to the reaction chamber and an exhaust system for exhausting unnecessary reaction products. Specifically, the apparatus includes a pair of facing electrodes disposed in the reaction chamber which are covered by shields except the area in which the electrodes face each other. The shields may include a first and second shield wherein the inner first shield is electrically insulated from the electrodes and the outer second shield is kept at earth potential. The apparatus further includes a substrate container for supporting substrates which surrounds the substrates by a frame. The outside of the substrate container is kept in the earth potential and is covered by a conductor plate electrically insulated from the container. The shields and substrate container are configured such that plasma generated by electric power supplied by the electrodes is confined in a space surrounded by the shields and the container.