The name Ammon has its origins in ancient Egypt, where it was derived from the name of the Egyptian god Amun or Amon. Amun was one of the most prominent deities in the Egyptian pantheon, revered as the king of gods and the god of the air, sun, and fertility. The name is thought to have come from the ancient Egyptian words "Imn" or "Yamanu," which meant "the hidden one" or "the mysterious one."

The earliest recorded use of the name Ammon dates back to the Old Kingdom of Egypt, around the 3rd millennium BCE. It was a popular name among the Egyptian royalty and nobility, with several pharaohs bearing the name or incorporating it into their official titles, such as Amenhotep and Tutankhamun.

In the Bible, Ammon is mentioned as the son of Lot and the progenitor of the Ammonite people, who were neighbors and sometimes enemies of the Israelites. The name Ammon was also used in ancient Greek and Roman texts, where it was associated with the Greek god Zeus Ammon and the Libyan deity Ammon.

One of the earliest recorded individuals with the name Ammon was Ammonius Saccas, a Greek philosopher who lived in the 3rd century CE and founded the Neoplatonic school of philosophy in Alexandria, Egypt. Another notable figure was Ammonius Hermiae, a 5th-century Greek philosopher and commentator on Aristotle's works.

In the Middle Ages, the name Ammon was used by several Christian saints and scholars, including Saint Ammon of Nitria (4th century), a pioneering figure in Christian monasticism, and Ammonius of Alexandria (5th century), a Christian philosopher and grammarian.

During the Renaissance, the name was borne by Ammon Willet (1590-1670), an English clergyman and biblical commentator. In the 18th century, Ammon Bentwich (1756-1826) was a German-Jewish banker and philanthropist who supported Jewish education and charitable causes.

In the 19th century, Ammon Anstad (1838-1922) was a Norwegian-American author and educator who wrote extensively about Norwegian-American history and culture. Another notable figure was Ammon Hennacy (1893-1970), an American pacifist and Christian anarchist who was a prominent figure in the Catholic Worker Movement.