Quantum　key　agreement　(QKA)　is　an　important　cryptographic　primitive　that　plays　a　pivotal　role　in　private　communications.　However,　in　practical　implementations　of　QKA,　the　flaws　in　participants’　detectors　may　be　exploited　to　compromise　the　security　and　fairness　of　the　protocol.　To　address　this　issue,　we　propose　a　two-party　measurement-device-independent　QKA　protocol,　effectively　eliminating　all　detector-side-channel　loopholes.　This　protocol　is　based　on　quantum　entanglement　swapping　and　Bell-state　measurements,　making　it　feasible　under　current　technological　conditions.　A　thorough　security　analysis　is　conducted,　demonstrating　its　ability　to　guarantee　both　security　and　fairness.　©　2023,　The　Author(s),　under　exclusive　licence　to　Springer　Science+Business　Media,　LLC,　part　of　Springer　Nature.