The embodiments of the disclosure provide a control method and apparatus for a memory, and a storage medium. The memory has memory blocks, and each memory block has memory strings. Each of the memory strings includes a channel layer with an N-type doped top region. In a memory block, a bit line erasing voltage is applied to a select bit line, and an erasing prohibition voltage is applied to an unselect bit line. A top select gate voltage lower than the bit line erasing voltage is applied to a top select gate. When a word line erasing voltage lower than the bit line erasing voltage is applied to the corresponding word line connected to a memory string corresponding to the select bit line and the unselect bit line, the memory string corresponding to the select bit line is erased.