For　the　hierarchical　airborne　cognitive　network　that　is　composed　of　primary　net(PNet)　and　secondary　net(SNet),　an　optimal　design　of　hierarchical　airborne　network,　which　is　equipped　with　cognitive　anti-jamming　radio,　was　investigated　based　on　simultaneous　transmit　and　receive(STAR).　First,　the　false　alarm　and　detection　probability　of　the　multihop　cognitive　network　in　the　fading　channel　were　derived　based　on　the　energy　detection　method(ED),　then　the　throughput　of　the　secondary　net　CRs　was　calculated.　Furthermore,　a　multi-objective　optimization　model　constraint　by　sensing　time,　decision　threshold　and　transmitting　power　was　constructed　to　maximize　the　throughputs　and　minimize　the　transmitting　power　of　the　secondary　net　CRs,　an　approach　was　presented　based　on　quasi-Newton　method　and　a　logarithm　penalty　function　method　to　solve　this　optimization　problem.　The　simulation　results　show　that　the　Pareto　optimal　solution　can　be　obtained　after　the　optimization　of　each　set　of　initialized　target　functions,　and　the　optimization　solution　is　corresponding　to　unique　sensing　time,　channel　decision　threshold　and　channel　transmit　power.　©2019,　Editorial　Department　of　Journal　of　Beijing　University　of　Technology.　All　right　reserved.