A council member who was duly elected, but because of the change in boundaries of the ward no longer resides within the ward from which the member was elected, but is still residing within the city limits, can continue in office for the term for which the member was elected and until a successor is duly elected and qualified for the ward.
N.D. Cent. Code § 40-52-08
Council member changing wards can continue in office
Official source: North Dakota Legislative Branch. Reproduced from public-domain North Dakota statutes; confirm against the official source for the current text. Not legal advice.