Using the linear approximation method, the normalized intensity fluctuation(NIF) for bias signal modulation is calculated in a gainnoise model of a singlemo de laser driven by colored correlated noises, in which each is colored; and the influences of the strength of bias signal modulation, the frequency of period si gnal, the correlation strength and correlation time of noises on NIF is studied in detail. We observed that a minimum appears in the NIF versus pump noise inten sity curve and quantum noise intensity curve; the normalized intensity fluctuati ons of a singlemodel laser for bias signalmodulation and direct signal modul ation are compared.