1) Determinist 2) Fatalist 3) Fatalistic 4) Necessarian 5) Predestinationist 1) Philosopher 
• (a.) Of or pertaining to the doctrine of philosophical necessity in regard to the origin and existence of things, especially as applied to the actings or choices of the will; -- opposed to libertarian. • (n.) One who holds to the doctrine of necessitarianism. • (a.) Of or pertaining to the doctrine of philosophical necessity in reg...
Ne·ces`si·ta'ri·an adjective Of or pertaining to the doctrine of philosophical necessity in regard to the origin and existence of things, especially as applied to the actings or choices of the will; -- opposed to libertarian . 
[n] - someone who does not believe the doctrine of free will
noun someone who does not believe the doctrine of free will
a person who advocates or supports necessitarianism (distinguished from libertarian).