Abstract: A barbecue grill makes it possible to effect quick and easy extinguishing of any flames that could develop as drops of fat fell into the heating chamber of that grill, by having a grid which normally holds meat in position over that heating chamber but which can be shifted horizontally to move that meat away from that heating chamber, and thereby keep further drops of fat from falling into that heating chamber. When the flames subside, as they will quickly do, that grid can be shifted to shift the meat back into position over the heating chamber to permit further cooking of that meat. Also, the barbecue grill enables a person to use his or her hands in placing all kinds of meat on the grid by permitting that grid to be shifted horizontally away from the heating chamber whenever any meat is to be placed on it. Further, the grill enables a user to shift the grid, and the meat thereon, away from the heating chamber whenever that user wishes to test, turn or remove that meat.