This paper reports the excellent potential of the epoxy resin/aluminium nitride (EP/AlN) nanocomposites for the packaging materials of a 3.3 kV four switch IGBT power electronic module in the DC condition. The DC conductivity and trap characteristics of the EP/AlN nanocomposites are investigated through the IDC (isothermal discharge current) experiment and the space charge accumulation characteristics with different trap density and trap level are obtained by simulation. The electric stress and power loss reduction effects in the EP/AlN nanocomposites are compared with the traditional silicone gel material at 150 °C. It is found that the 1 wt% EP/AlN nanocomposites have the lowest trap density and activation energy amongst the tested EP/AlN nanocomposites. The space charge amount is the lowest for the 1 wt% EP/AlN nanocomposites and high temperature can cause serious space charge accumulation. The maximum electric stress and power loss density decreases dramatically in the EP/AlN nanocomposites compared with the silicone gel and the 3 wt% EP/AlN nanocomposites have the lowest power loss density for all the considered materials.