According to one embodiment, a memory system includes a non-volatile memory including first and second block groups, and a controller that performs a first write operation for the first block group and the first or a second write operation for the second block group. A first or second number of bits is written into a memory cell in the first or the second write operation. The second number of bits is larger than the first number of bits. The controller allocates a block to a buffer as a write destination block in the first write operation based on a degree of wear-out of at least one block, and writes data from an external device into the buffer in the first write operation.