He was the son of organ builder Augustinus Hartung (1677–1739) and Sophia Hartung née Schwab. Hartung learned the trade as his father's successor in the family workshop, and is recorded as doing independent work in 1733. He built organs in Winden in 1746, in Gimmeldingen in 1749, in Enkenbach in 1751, in Haßloch and Rohrbach in 1752, and in Edenkoben and Oberotterbach in 1754. His last known contract was with Assenheim, in 1759.
Hartung married Anna Barbara Klein in 1737. The couple had four children. After the death of his wife from a miscarriage in 1746, Hartung married Maria Louise Baum in 1747, with whom he had nine children, among them Johann Philipp Hartung (born 1750, died 1806 in Kallstadt), the last organ builder in the Hartung family.
At the time of his death at age 54, Hartung was judge and councilor in Dürkheim.
- GEDBAS (genealogy.net) Archived 2016-11-10 at the Wayback Machine. Johann Philipp Hartung (1750–1806), Dürkheim. Johann Martin Hartung (1794–1869), Kallstadt. Sabina Christina Hartung (1823–1868), Kallstadt, m. Johann Georg Christ (b. 1723). Philipp Christ (1856–1908), Kallstadt. Elizabeth Christ (1880–1966).
- Bernhard H. Bonkhoff, Historische Orgeln in der Pfalz, 1984.
- Christian Freund, "Die Orgelbauerfamilie Hartung", Pfälzisch-Rheinische Familienkunde 32, 1983, 230–233.
- Angelika Tröscher, "Die Orgelbauerwerkstatt Hartung", Mitteilungen der Arbeitsgemeinschaft für mittelrheinische Musikgeschichte 37, 1978, 407–426.
- Angelika Tröscher, "Hartung, Orgelbauerwerkstatt" in: Musik und Musiker am Mittelrhein vol. 2, 1981, 50–56 .