In　order　to　determine　the　composition　of　the　novel　gamma＇　strengthened　Co-Al-W-based　wrought　superalloy　of　the　Co-Al-W-Ni-Ta-Ti　system　and　the　corresponding　heat　treatment　process,　using　Pandat　calculation　software　and　the　thermodynamic　database　of　cobalt-based　superalloys,　the　influence　of　alloying　elements　on　the　precipitation　behavior　of　the　equilibrium　phase　was　calculated.　The　results　show　that　W,　Ni,　Ta,　and　Ti　can　improve　the　stability　of　gamma＇,　W,　Ta　can　increase　the　precipitation　tendency　of　the　harmful　phase　chi-D0(19),　and　Ti　and　Ni　can　suppress　the　precipitation　of　the　harmful　chi-D0(19)　phase　and　B2　phase,　respectively.　So　the　alloy　composition　is　determined　as　Co-9Al-3W-30Ni-2Ta-3.5Ti　(at%).　The　phase　transition　law　of　this　alloy　was　calculated,　and　the　results　showed　that　the　equilibrium　precipitation　phases　of　the　alloy　were　y,　gamma＇,　gamma-D0(19)　and　Co7Ta2,　and　the　initial　precipitation　temperatures　were　1355,　1169,　700,　and　288　degrees　C,　respectively.　The　alloy　heat　treatment　process　is　determined:　1250　degrees　C/12　h　homogenization,　1150　degrees　C/6　h　solution　treatment,　and　900　degrees　C/4　h　+　750　degrees　C/16　h　two-step　aging　treatment.　The　alloy　samples　were　prepared　by　vacuum　induction　melting.　After　the　above　heat　treatment,　the　DSC　analysis　results　show　consistency　with　the　calculated　phase　transition　rules.　SEM　and　XRD　results　show　that　the　equilibrium　phase　of　the　alloy　is　typical　gamma+gamma＇　two-phase　structure.