Kleiman is a surname. Notable people with the surname include:
Ariel Kleiman (born 1985), Australian director
Bernard Kleiman (1928–2006), lawyer
Dave Kleiman (1967–2013), American forensic computer expert
Devra G. Kleiman (1942–2010), American biologist
Johannes Kleiman (1896–1959), Dutch helper of the Frank family
Mark A. R. Kleiman (born 1951), American academic drug policy authority
Michael Kleiman, documentary filmmaker
Naum Kleiman (born 1937), historian of cinema
Pascal Kleiman (born 1968), disc jockey
Steven Kleiman (born 1942), American mathematician
Vladimir Kleiman (1930–2014), Russian scientist