We　propose　a　protocol　to　construct　narrowband　(NB)　composite　pulses　using　quantum　optimal　control　in　a　full-parameter　adjustable　two-level　system.　The　optimal　NB　composite　pulses　are　highly　sensitive　to　various　types　of　parameter　deviations.　The　optimal　modulation　parameters　are　obtained　by　minimizing　the　cost　function　composed　of　the　weight　factor　and　the　expansion　coefficients　of　transition　probabilities.　In　this　way,　the　problem　of　multi-parameter　modulations　and　incomplete　nullification　of　expansion　coefficients　can　be　effectively　solved.　Furthermore,　the　NB　composite　pulses　with　arbitrary　population　transfer　can　be　flexibly　achieved　by　only　changing　the　constraint　of　the　cost　function,　and　the　current　protocol　is　easily　extended　to　implement　passband　composite　pulses.