An improved programming technique for non-volatile memory cell arrays, in which memory cells to be programmed with higher programming values are programmed first, and memory cells to be programmed with lower programming values are programmed second. The technique reduces or eliminates the number of previously programmed cells from being adversely incrementally programmed by an adjacent cell being programmed to higher program levels, and reduces the magnitude of adverse incremental programming for most of the memory cells, which is caused by floating gate to floating gate coupling. The memory device includes an array of non-volatile memory cells and a controller configured to identify programming values associated with incoming data, and perform a programming operation in which the incoming data is programmed into at least some of the non-volatile memory cells in a timing order of descending value of the programming values.