We have generalized the Arakawa‐Schubert cumulus parameterization to allow multiple cloud‐base levels. A spectrum of cloud‐top levels is allowed for each cloud‐base level. We use a linear (rather than exponential) mass flux profile, because this greatly simplifies the determination of the entrainment rate and reduces the computational requirements of the parameterization. Cloud‐top entrainment is included. The linear mass flux profile and the multiple cloud bases are separately tested in a general circulation model. Results show that the linear mass flux profile tends to lead to smoother precipitation distribution with a decrease in the depth and intensity of deep convection and that cumuli with cloud bases above the boundary layer tend to occur at night over land.