This paper studies the stability analysis of a dc distribution network in a hybrid micro-grid. A micro-grid with ac and dc distribution networks based on multi-port power electronic interfaces (MPEIs) is conceptualized. Afterwards, an extended averaging method for modeling systems with multiple switching converters is introduced. Using this method, the dc distribution network is modeled. Furthermore, the stability assessment of this network is performed using pole-zero analysis of the small-signal model. Simulation results and experimental measurements are provided to validate the stability assessment of the hybrid micro-grid.