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In this short review, we discussed some aspects of nanocomposites regarding electrical tree growth and breakdown. It appears that nanoparticles, properly mixed and dispersed in the polymer matrix, increase the breakdown strength and hinder the growth of electrical trees in the nanocomposite. Nanoparticles act as barriers obstructing electrical tree growth and delaying dielectric breakdown. This article also put forward a tentative proposal for the mechanisms of treeing and breakdown in nanocomposites.