Damir is a Slavic name usually explained as "giver of peace", from dati, to give, and mir, peace or world. It is common in Bosnia, Croatia and Serbia and also among Tatars and Bashkirs in Russia, where it has a Turkic reading as well. In the United States Damir was far down the list at number 1569 in 2015, entered the top 1000 in 2020, peaked at number 796 in 2024 and ranks number 982 in 2025.