Extinguishment \Ex*tin"guish*ment\, n. 1. The act of extinguishing, putting out, or quenching, or the state of being extinguished; extinction; suppression; destruction; nullification; as, the extinguishment of fire or flame, of discord, enmity, or jealousy, or of love or affection. 2. (Law) The annihilation or extinction of a right or obligation. --Abbott.