The present invention relates to apparatuses and processes for recording dye-based recordable DVD media in higher quality at higher linear recording velocity, and provides an apparatus for recording a dye-based recordable DVD medium comprising a shortest mark recording unit, a second mark recording unit, and a cooling pulse irradiating unit, wherein the dye-based recordable DVD medium comprises a substrate and a recording layer formed on the substrate, the substrate comprises a guide groove to which wobble is formed, and the recording layer comprises at least an organic dye, the shortest mark recording unit is configured to record each of the shortest marks by use of one pulse beam of which the rear edge is more energized than the front edge, the second mark recording unit is configured to record each of the marks other than the shortest marks by use of one pulse beam of which the two sites of front and rear edges are energized, the cooling pulse irradiating unit is configured to irradiate cooling pulse laser beams onto the backwards of the respective pulse beams at 0.1 mW/pulse or less of optical energy, and the recording of marks is performed on the recording layer at a recording linear velocity of 42 m/sec or more.