The　proposed　quantum　hash　function　(QHF)　based　on　the　discrete-time　quantum　walk　(DTQW)　structure　requires　enlarging　the　coin　state　space　and　the　preparation　of　continuous　quantum　states　is　less　difficult.　Hence,　a　new　construction　method　of　QHF　is　proposed　based　on　the　continuous-time　quantum　walk　(CTQW)　of　the　one-dimensional　(1D)　lattice　with　boundary　constraints　and　without　additional　coin　space.　In　the　scheme,　the　input　of　the　QHF　is　an　arbitrary　binary　string　message　which　is　used　to　control　the　selected　Hamiltonian　of　CTQW　at　each　time　interval,　and　the　output　of　the　QHF　is　the　final　probability　distribution　of　CTQW.　Under　the　same　computing　environment,　simulation　and　analysis　indicate　that　our　QHF　can　satisfy　the　same　security　requirements　such　as　sensitivity,　diffusion　and　confusion,　collision,　birthday　attack,　but　the　collision　rate　is　reduced　by　40%　without　reducing　effectiveness.