Ultrasonic machining is one of the most widely used non-traditional machining processes for the machining of non-conductive, brittle materials including glass, ceramics, carbides, and graphite. Ultrasonic machining is an abrasive process, and material removal is purely mechanical. The process does not cause heat affected zone and any chemical or electrical alterations on work piece surface. It does not change the metallurgical, chemical or physical properties of the work pieces. Ultrasonic machine four different mechanisms are responsible for removal of material from the work surface. Material removed by direct hammering of abrasive particles on the work piece, Micro chipping by impact of free moving particles, Cavitations effect from the abrasive slurry, Chemical action associated with the fluid used. This study presents a new methodology for evaluation, ranking and selection of parameters of Ultrasonic machine by using (multiple attribute decision making) MADM approach.