A nonvolatile memory module includes volatile memory devices; a nonvolatile memory device; and a controller suitable for backing up data stored in the volatile memory devices or restoring data backed up in the nonvolatile memory device, according to a fail/recovery of power of the host, the controller including a power-down interrupt logic which interrupts a backup operation when the power of the host is recovered while performing the backup operation, the power-down interrupt logic including: a logic which determines whether sufficient erased blocks exist in the nonvolatile memory device; a logic which erases a new block when the sufficient erased bocks do not exist; and an interrupt backup logic which backs up a volatile memory device having data corresponding to the erased block, when a fail in the power of the host is detected or a backup operation is instructed from the host.