In this paper, the author continue to study the rings satisfying zero insertion property for n (abbr., ZIn) and zero products commuting property for n (abbr., ZCn). In particular, the author prove that R satisfies ZIn(resp., ZCn) if I is a reduced ideal of Rand R/ I satisfies ZIn(resp., ZCn), where n is a positive integer. Furthermore, we show that [[RS, or