Elman is both a surname and a given name. Notable people with the name include:
Surname:
Dave Elman (1900-1967), American hypnotist
Jeffrey Elman, American psycholinguist and pioneer in the field of neural networks
Mischa Elman (1891–1967), Ukrainian-born violinist
Richard Elman, (1934-1997), American author and teacher
Steve Elman, American disk jockey
Ziggy Elman (1914-1968), American jazz trumpeter
Given name:
Elman Guttormson (1929–2001), Canadian politician
Elman Mammadov (born 1950), Azerbaijani politician
Elman Rustamov (born 1952), Azerbaijani politician
Elman Service (1915–1996), American cultural anthropologist
Elman Sultanov (born 1974), Azerbaijani footballer
Elman Tagaýew (born 1989), Turkmenistan footballer