Leader election in a network plays an important role in the area of distributed algorithm design. Structural properties of the network as well as presence of direction on the edges of the network greatly affects the complexity of the leader election problem which is primarily measure by the message complexity of the protocol. Our purpose in the present paper is to adapt the existing distributed match making concepts to design a linear time leader election algorithm for star graphs. Star graphs have been extensively studied as attractive alternative for the well known hypercubes for network design. Linear election algorithms for oriented hypercubes is known; no such algorithm exist for oriented star graphs.