Quantum　key　agreement　(QKA)　is　an　important　primitive　of　quantum　cryptography　and　has　attracted　continuous　attention.　However,　in　practical　QKA,　the　imperfections　of　the　honest　participant＇s　detectors　can　be　exploited　by　the　dishonest　participant　to　compromise　the　security　of　QKA.　To　remove　all　the　detector-side-channels,　we　report　the　first　detector-device-independent　(DDI)　QKA(DDI-QKA)　protocol　based　on　single-photon　Bell-state　measurement.　Only　the　time-bin　and　path　encoding　are　needed.　Complete　Bell-state　measurement　can　be　achieved　based　on　the　time-bin　and　path　encoding.　It　is　shown　that　the　proposed　protocol　satisfies　three　conditions　of　a　secure　QKA　protocol　in　theory,　i.e.,　correctness,　fairness,　and　security.　Furthermore,　it　is　implemented　with　linear　optical　elements　only　and　thus　it　is　feasible　with　current　technology.