A method for erasing electrically erasable and programmable memory cells arranged in a plurality of sectors, in a memory device receiving a suspend command and a resume command, the erasing having steps of pre-programming, main erasing and post-programming, is disclosed. The method includes the steps of stopping a current step of the erasing when the suspend command appears thereat and storing a flag signal in a predetermined memory area, performing a read or programming for another sector after the stopping the current step until the resume command is applied thereto, and resuming the current step in response to an activation of the resume command.