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We present a scenario of formation of strange stars due to spin-down of {\itrapidly rotating} neutron stars left after supernova explosions . By assuming aprocess where the total baryon mass is conserved but the angular momentum islost due to emission of gravitational waves and/or the magnetic braking, wefind that the transition from rapidly rotating neutron stars to slowly rotatingstrange stars is possible; a large amount of energy $\sim 10^{53} ergs $ couldbe released. The liberated energy might become a new energy source for adelayed explosion of supernova. Furthermore, our scenario suggests that thesupernova associated with gamma-ray bursts could become candidates for targetsin the future observation of gravitational waves.Comment: 11 pages, 3 figures, Received November 5, 200

Possible Evolutionary Transition from Rapidly Rotating Neutron Stars to Strange Stars Due to Spin-Down