Alstin \a-ls-tin, al-stin\ as a boy's name is a variant of Alston (Old English), and the meaning of Alstin is "elf stone". The baby name Alstin sounds like Alsten, Alistir, Allston, Alsdon and Elston. Other similar baby names are Austin, Aldin, Alton, Alten, Allton, Aston, Austen, Agustin and Austyn.