Damyen is of Germanic origin, derived from the ancient personal name Damian. It means "to tame" or "to subdue". This name was popular among early Christians and was borne by Saint Damian, a martyr who was venerated for his faith during the Roman Empire. Today, Damyen is considered a unique and distinct name choice, often preferred for its rarity and strong sound. It has been used in various cultures around the world, with notable bearers including American football player Damayan Douglas and French footballer Damyen Da Silva.
The name Damyen saw a gradual increase in popularity from 1998 to 2007, peaking at 14 births in 2007. However, it began to decline afterwards, with 6 births each in 2009 and 2013, and only one year (2015) with a recorded birth. Overall, there were 151 births from 1998 to 2015.