Quantum　key　agreement　(QKA)　allows　participants　to　establish　a　shared　key　over　a　quantum　channel,　and　no　one　of　the　participants　can　determine　the　shared　key　alone.　Actually,　particles　are　usually　affected　by　noise　during　transmission　in　the　quantum　channel,　and　an　aggressor　can　launch　a　baleful　attack　under　the　cover　of　noise.　In　this　paper,　based　on　logical　Bell　states,　we　propose　two　robust　two-party　QKA　protocols　immune　to　collective-dephasing　noise　and　collective-rotation　noise,　respectively.　The　measurement　correlation　of　quantum　entanglement　is　utilized　to　establish　a　shared　key.　The　proposed　protocols　are　globally　better　in　terms　of　quantum　resource　cost　and　qubit　efficiency　than　existing　two-party　QKA　protocols　against　collective　noise.　The　security　analysis　demonstrates　that　they　can　resist　common　insider　and　outsider　attacks.