The　road　gradient　and　trip　range　are　of　great　significance　in　fuel　consumption　and　emissions　of　a　range-extended　electric　vehicle　(REEV).　However,　the　traditional　energy　management　strategy　failed　to　consider　the　road　gradient.　To　address　this　issue,　a　multi-objective　optimization　adaptive　control　strategy　is　proposed　to　improve　the　fuel　consumption　and　emissions　of　the　REEVs.　Firstly,　a　multi-objective　optimization　adaptive　control　strategy　is　developed　based　the　equivalent　consumption　minimization　strategy　integrated　with　adaptive　equivalent　factor　(EF).　The　EF　is　updating　according　to　the　road　slope　by　using　a　proportional-integral　controller.　To　investigate　the　impacts　of　the　road　gradient　on　emissions,　the　numerical　models　between　road　gradient　and　emissions　are　established.　Furthermore,　an　optimal　torque　distribution　strategy　is　proposed　according　to　the　weights　of　fuel　and　emissions,　which　realizes　the　tracking　of　the　SOC　trajectory　and　improves　the　fuel　economy　and　emission　performance　of　the　vehicle.　Finally,　various　strategies　are　carried　out　to　verify　the　superiority　of　the　proposed　strategy　by　numerical　validations.　Compared　with　the　control　strategy　considered　fuel　consumption　only,　the　validation　results　show　that　the　engine　CO,　HC,　and　NOx　are　reduced　by　9.47,　2.33,　and　4.10%,　respectively,　while　compromising　fuel　economy　by　3.3%.　©　The　Author(s),　under　exclusive　licence　to　The　Korean　Society　of　Automotive　Engineers　and　Springer-Verlag　GmbH　Germany,　part　of　Springer　Nature　2024.