Heeren was born on 25 October 1760 in Arbergen near Bremen, a small village in which his father was a clergyman. He spent the first 15 years of his life in Arbergen, where he was privately educated. From the beginning of the year 1776, shortly after his father had been appointed Prediger at the cathedral at Bremen, he attended the cathedral school there. At Michelmas 1779 he went on to the university at Göttingen, in accord with his father's wish that he work toward a degree in theology.