Broaches are used for machining either internal or external surface (i.e. sizing of holds and cutting of serrations, straight or helical planes, gun rifling and key ways). In this work a broach cutting tool is design to perform internal splines of synch shuttle transmission for flange coupling. Broaching is a machining process in which a cutting tool, having multiple transverse cutting edges, is pushed or pulled through a hole or surface to remove metal by axial method. It is capable of production rates as much as 25 times faster than any traditional metal removing methods In this work a broach cutting tool is design to perform internal splines on sleeve main shaft. A sophisticated ANSYS 11 (FEM) package shall be used to analyze the displacements and stresses present in broach cutting tool. Further the solid model can be used to perform the finite element analysis which would help in knowing the characteristic of the broach tool under various cutting loads.