In this work, it is presented a dynamic model in order to simulate of the biological composting process, applied to the organic fraction of the municipal solid waste. The model was applied to small scale composting units (in-vessel type), processing household wastes composed of food wastes, yard wastes and paper wastes. The model is based in a continuous plug flow reactor for the solids and in a continuous stirred tank reactor for the gas phase. The output features of the model includes the instantaneous oxygen consumption, the solids output and the solids temperature and moisture profiles. The results show that with proper system design and operation, home composting seems to ensure effective pathogen destruction, considering the modelled time/temperature profiles.