The　color　matching　of　tri-chromatic　and　tetra-chromatic　white　LEDs　was　designed　according　to　mixing　primary　colors.　In　the　condition　of　correlated　color　temperature　of　(5　500±20)　K,　the　relationship　of　the　color　rendering　index　and　luminous　efficiency　of　radiation　with　the　peak　emission　wavelength　and　spectral　width　was　obtained　in　the　region　of　visible　light　with　mixing　multiple　primary　colors.　The　maximum　color　rendering　index　value　of　tri-chromatic　and　tetra-chromatic　white　LEDs　is　respectively　89　and　96.7,　corresponding　to　luminous　efficiency　of　radiation　value　of　353　lm/W　and　340　lm/W.　And　the　simulation　results　indicate　that　both　the　color　rendering　and　its　stability　are　improved　by　adding　the　number　of　primary　colors.