Turbulent mixing and combustion in non-premixed and premixed colorless distributed combustion (CDC) systems are simulated with a hybrid large-eddy simulation/filtered mass density function (LES/FMDF) model. The CDC systems have low (NOx and hydrocarbon) emissions, stable combustion, and low-pressure drop and noise. They are also characterized by distributed combustion as opposed to thin flamelets, seen in ordinary combustion systems. The two parts of hybrid LES/FMDF model, i.e., the Eulerian gas dynamics finite-difference solver and the Lagrangian stochastic FMDF solver are shown to be fully consistent and computationally robust and accurate for both nonreacting and reacting flows. The LES/FMDF results are also shown to be in good agreement with the available experimental data. The numerical results show that the variation in inflow air temperature or the air to fuel jet momentum ratio has a significant effect on the turbulent flow, mixing, and combustion. They also indicate the importance of the flow configuration in the CDC combustors.