Blockchain　is　becoming　more　and　more　popular　in　various　fields.　Since　the　information　transmission　mode　of　the　blockchain　is　data　broadcasting,　the　traditional　TCP/IP　network　cannot　support　the　blockchain　system　well,　but　the　Named-Data　Networking　(NDN)　could　be　a　good　choice　because　of　its　multi-path　forwarding　and　intra-network　caching　functions.　In　this　article,　we　propose　a　new　blockchain　information　transmission　acceleration　strategy　(AITS)　combining　with　graph　theory　and　probability　theory　based　on　the　NDN　architecture.　We　select　some　more　important　nodes　in　the　network　as　＇secondary　nodes＇,　and　give　them　more　bandwidth　and　cache　space　to　assist　the　NDN　network　in　data　transmission.　In　order　to　select　the　correct　node　as　the　secondary　node,　we　present　a　method　to　calculate　the　number　of　secondary　nodes,　and　give　the　function　to　calculate　the　importance　of　each　node.　The　simulation　results　show　that　in　complex　networks,　the　proposed　method　has　superior　performance　in　accelerating　information　transmission　and　reducing　data　overhead.　©　2021　by　the　authors.　Licensee　MDPI,　Basel,　Switzerland.