A non-drip applicator that allows easy lubrication and seasoning of barbecue grilling grates or griddle cooking surfaces in an easy, fire safe, and efficient manner is described and claimed. The tool includes a body, an applicator, and, optionally, an irrigation system. The applicator may retain a supply of cooking oil therein, or cooking oil may be transferred to the applicator via the irrigation system. The application of pressure to the applicator by pressing it against the grill cooking elements causes cooking oil to be transferred from the applicator to the cooking elements. The applicator may be rotatably connected to the tool body, allowing the user to oil the grill by rolling the applicator along the grill cooking elements.