A kinetic fireball incendiary munition is provided having an outer shell or bomb casing, one or more incendiary submunitions therein, and an igniter therefore. Each of the submunitions includes an incendiary portion and at least one rocket motor that propels the submunition inside of a target volume. The submunitions liberate sufficient heat to produce elevated temperatures inside of a target structure, without creating a substantial overpressure or explosive effect. The incendiary portion includes a solid propellant and, optionally, one or more energetic materials selected from the group consisting of phosphorous, boron, magnesium, aluminum, Fluorinert.TM.-aluminum and BKNO.sub.3. The incendiary submunition may be in the shape of a ball or a circular disk with a rocket motor therein.