A multi-level non-volatile memory device programs cells in each row in a manner that takes into account the coupling from the programming of cells that are proximate the row to be programmed. In one example of the invention, after the row has been programmed, the proximate cells are verified by read, comparison, and, if necessary, reprogramming operations to compensate for charge added to proximate memory cells resulting from programming the row. In another example of the invention, a row of memory cells is programmed with charge levels that take into account the charge that will be added to the memory cells when proximate memory cells are subsequently programmed.