If new atomic coherence is introduced into correlated-emission laser systems, such systems can produce bright two-mode sub-Poissonian light. Using Scully-Lamb theory the Mandel Q parameter is calculated. When quantum noises of relative amplitude and relative phase drop to vaccum noise levels, average mode exhibits sub-Poissonian photon distribution; when quantum noises of average amplitude and average phase drop to vaccum noise levels, relative mode exhibits sub-Poissonian photon distribution; the optimum Mandel Q parameter is -0.5. In the above two cases, each of two CEL modes exhibits sub-Poissonian photon distribution with optimum Mandel Q parameter of -0.25.