An infrared tunnel oven includes one or more oven tiers each having a horizontal cooking tunnel with entrance and exit at opposite ends, the tier(s) being supported by a base. Each tunnel is divided along its length into multiple heating zones. The roof and hearth surfaces of each tunnel are heated by electrical heating panels for direct IR emission from the roof and hearth for direct absorption by food products conveyed through the tunnel by a continuous speed-controllable conveyor. Microprocessor-controlled circuitry monitors, by a thermocouple arrangement, the temperature of the roof and hearth in each zone, controlling the electric heating panels to maintain preselected roof and hearth temperatures in each such zone. The microprocessor also controls the conveyor speed for conveying of products along the length of the tunnel within a preselected cooking time. User selection of temperatures in the different zones and cooking time, as well as other functions, is provided by keypad entry. Temperatures and cooking times and other information are displayed to the user. Lateral zoning in addition to longitudinal zone is provided by other embodiments. The oven provides a method of profiled cooking of food products.