The　solar　radiation　pressure　is　one　of　the　major　perturbations　to　orbits　in　the　study　of　binary　asteroid　system,　since　asteroids　have　relatively　weak　gravity　fields.　In　this　paper,　based　on　the　idea　of　treating　the　solar　radiation　pressure　as　periodic　external　excitation,　one　novel　family　of　orbits　due　to　primary　resonance　and　another　novel　family　of　orbits　due　to　both　primary　resonance　and　internal　resonance　have　been　found　by　the　classical　perturbation　method.　The　two　types　of　steady-state　orbits　due　to　external　resonance　with　different　area-to-mass　ratios　have　been　determined　and　discussed　by　the　frequency-response　equations　analytically.　Four　binary　asteroid　systems,　283　Emma-S/2003　(283)　1,　22　Kalliope-Linus,　2006　Polonskaya-S/2005　(2006)　1　and　4029　Bridges　have　been　taken　as　examples　to　show　the　validity　of　the　proposed　mechanism　in　the　explanation　of　orbits　formation　due　to　resonance.　The　multiple　shooting　method　is　applied　to　obtain　the　resonance　orbits　after　numerical　iterations.