In his decision, US District Judge Daniel L. Hovland said the law would not pass constitutional muster:

The State has extended an invitation to an expensive court battle over a law restricting abortions that is a blatant violation of the constitutional guarantees afforded to all women. The United States Supreme Court has unequivocally said that no state may deprive a woman of the choice to terminate her pregnancy at a point prior to viability. North Dakota House Bill 1456 is clearly unconstitutional under an unbroken stream of United States Supreme Court authority.

There is only one abortion clinic in North Dakota, the Red River Women's Clinic in Fargo, and it has to fly doctors in from out of state to provide the procedure. Hovland's ruling notes that the law would basically make it impossible to get an abortion in North Dakota.