Programming of nonvolatile memory cells

The present invention relates generally to electrically erasable, programmable read only memory (EEPROM) cells and specifically, to methods for programming thereto. A method for programming an NROM cell which includes the steps of applying a drain, a source and a gate voltage to the cell and verifying a programmed or a non-programmed state of the cell. If the cell is in the non-programmed state, the method includes the steps of increasing the drain voltage and maintaining the gate voltage at a constant level during at least a part of the step of increasing. The steps of applying, verifying, increasing and maintaining are repeated until the cell reaches the programmed state.