The　cable　equation　plays　a　significant　role　in　many　areas　of　electrophysiology　and　in　modeling　neuronal　dynamics.　In　recent　years,　considerable　attention　has　been　devoted　to　distributed-order　differential　equations　because　they　appear　to　be　more　effective　for　modeling　complex　processes.　In　this　work,　a　finite　difference/Legendre　spectral　method　is　presented　for　the　numerical　simulation　of　the　two-dimensional　(2D)　distributed-order　time-fractional　cable　equation,　where　the　finite　difference　method　is　employed　in　the　temporal　discretization　and　Legendre　spectral　method　is　adopted　in　the　spatial　discretization.　The　midpoint　quadrature　rule　is　used　to　approximate　the　distributed-order,　such　that　the　considered　equation　could　be　transformed　into　a　multi-term　fractional　equation.　The　stability　and　convergence　analysis　of　the　proposed　scheme　is　established,　which　illustrates　that　the　numerical　solution　converges　to　the　exact　solution　with　order　O(τ2+σ2+N−s),　where　τ,　σ,　N　are　the　time　step　size,　the　step　length　in　the　approximation　of　the　distributed-order　and　the　polynomial　degree,　respectively.　Furthermore,　to　demonstrate　the　versatility　and　applicability　of　our　method,　we　provide　numerical　results　that　show　good　agreement　with　the　theoretical　analysis.　©　2020　Elsevier　Ltd