Damian \d(a)-mian\ as a boy's name (also used as girl's name Damian), is pronounced DAY-mee-en. It is of Greek origin. Possibly means "to tame, subdue", though the Greek root is also close to the word for "spirit". The Belgian priest Father Damien is honored as the man who gave his life helping the lepers of Molokai in Hawaii. Saint Damien (third century) is known as the patron saint of physicians. Demyan is the Russian form. Author Damon Runyon; ballet dancer Damien Woetzel.