N.D. Cent. Code § 28-14-20

If after the impaneling of a jury and before a verdict, a juror becomes sick so as to be unable to perform the juror's duty, the court may order the juror to be discharged. In that case the trial may proceed by agreement of the parties with the remaining jurors, or an alternate juror may be called, or another juror may be sworn and the trial begun anew, or the jurors may be discharged and a new jury then or afterwards impaneled.