With　the　development　of　green　logistics　and　the　promotion　of　new　energy　vehicle　development　policies　domestically　and　abroad,　electric　vehicles　have　been　put　into　logistics　and　distribution　as　an　alternative　to　traditional　fuel　vehicles.　The　Electric　Vehicle　Routing　Problem　(EVRP)　has　attracted　widespread　attention　from　the　academic　community.　This　paper　comprehensively　examines　the　latest　research　progress　on　electric　vehicle　routing　models　and　solution　algorithms　in　logistics　and　distribution.　Firstly　briefly　introduces　EVRP　models　considering　battery　losses;　secondly,　based　on　the　composition　of　the　EVRP　objective　function　and　constraints,　EVRP　models　are　classified　into　four　types:　EVRP　considering　load　and　battery　life　constraints,　EVRP　with　a　time　window　and　considering　charging　strategies,　the　study　of　vehicle　routing　problems　for　hybrid　fleets,　and　EVRP　combined　with　charging/swapping　station　location.　Then,　briefly　introduce　exact　algorithms,　traditional　heuristics,　meta-heuristics,　and　hybrid　algorithms　for　solving　EVRP　models.　Moreover,　it　analyzes　the　main　meta-heuristics　that　are　more　widely　used.　Finally,　this　review　points　out　the　development　trend　of　EVRP　theoretical　methods.　©　2022,　The　Author(s),　under　exclusive　licence　to　Springer-Verlag　GmbH　Germany,　part　of　Springer　Nature.