A device for cooking pizzas and barbecues has a dome-shaped upper portion forming an oven and provided at its summit with an orifice. The wood or gas oven, collapsible and mobile, comprises both a smoke evacuating system for maintaining a high temperature therein and an ash recovery system. It is supported on a carriage with racks for utensils and tray for storing wood, and comprises wheels, one of which is steerable equipped with a brake, which make it easy to move. The device is designed for domestic usage. Any person possessing a plot of land, a terrace or a balcony can use the oven. It can be commercialized in specialized superstores, but not exclusively.