N.D. Cent. Code § 44-09-08
No officer may exercise the duties of that office after the officer has been impeached and before acquittal. Whenever upon the impeachment of an officer there is no one authorized by law to perform the duties of the office and the senate shall by resolution declare that the public service may suffer by reason thereof, the governor shall designate some suitable person to perform the duties of the office until the end of the trial upon the articles of impeachment. The person so designated shall receive the same salary, fees, and emoluments as such officer would receive if not impeached. If the accused is acquitted, the accused must be restored immediately to the office but if convicted, the office must be deemed vacant and must be filled immediately as provided by law.
N.D.C.C. § 44-09-08