The　solar　radiation　pressure　can　affect　significantly　orbits　around　binary　asteroid　system　(i.e.,　BAS).　One　novel　three-dimensional　resonance　orbit　family　for　BASs　is　constructed　due　to　primary　resonance　and　1:1　internal　resonance　between　the　in-plane　motion　and　the　out-of-plane　motion,　by　treating　the　solar　radiation　pressure　as　excitation.　Since　the　periodic　orbits　are　disturbed　by　the　solar　radiation,　the　multiple　scales　method　can　be　used　to　derive　the　first-order　approximated　solution.　Then,　the　stabilities　of　such　orbit　solutions　are　investigated.　The　energy　transferring　mechanism　that　＂pumps＂　SRP　energy　from　in-plane　motion　to　out-of-plane　motion　is　also　illustrated.　The　accuracy　of　such　approximated　solutions　is　further　verified　by　numerical　iterations.　The　7088　Ishtar　BAS　and1996　FG3　BAS　are　taken　as　examples　to　verify　the　proposed　method.　(c)　2023　Published　by　Elsevier　B.V.　on　behalf　of　COSPAR.