Tamir \t(a)-mir\ as a boy's name is of Hebrew and Arabic origin, and the meaning of Tamir is "erect, tall; wealthy one". The name literally refers to a person with an large supply of dates, a staple food in ancient Arabia. Related to the girl's name Tamar, which means "date palm".
Baby names that sound like Tamir are Damar, Damero, Damaro and Demar. Other similar baby names are Namir and Tahir.