Quantum　key　agreement　(QKA)　permits　participants　to　constitute　a　shared　key　on　a　quantum　channel,　while　no　participants　can　independently　determine　the　shared　key.　However,　existing　Measurement-device-independent　(MDI)　protocols　cannot　resist　channel　noise,　and　noise-resistant　QKA　protocols　cannot　resist　side-channel　attacks　caused　by　equipment　defects.　In　this　paper,　we　design　a　MDI-QKA　protocol　against　collective-dephasing　noise　based　on　GHZ　states.　First,　in　our　protocol,　Alice　and　Bob　prepare　a　certain　number　of　GHZ　states　respectively,　and　then　send　two　particles　of　each　GHZ　state　to　Charlie　for　bell　measurement.　Results　are　that　Alice　and　Bob　can　obtain　Bell　states　through　entanglement　exchange　with　the　help　of　dishonest　Charlie.　Meanwhile　our　protocol　can　ensure　the　transmission　process　noise-resisted.　Then,　Alice　and　Bob　encode　their　key　components　to　the　particle　in　their　hands　and　construct　logical　quantum　states　against　collective　noise　through　additional　particles　and　CNOT　operation　to　implement　MDI-QKA.　Compared　with　existing　MDI-QKA　protocols,　our　protocol　uses　logical　quantum　states　during　particle　transmission,　which　makes　the　protocol　immune　to　collective-dephasing　noise　and　thus　improves　the　final　key　rate.　Security　analysis　shows　that　our　protocol　can　resist　common　insider　and　outsider　attacks.