Itisshowninthispaperthatifparametersβ1,β2andβ3ofanonlinearSchrodingerequationwithhigherorderdispersionterms(HNLS)satisfythecondition:6β1-β2-2β3(1-6β1k)=0,karealconstant,thenthefundamentalsolitonsolutionsoftheHNLSequationexist.Theexactsolitonsolutionsaregivenandtherelationbetweenthisconditionandtheknownresultsintheliteratureisalsodiscussed.