Mueller is a spelling variant of the German surname Müller ("miller"). In German, the letter "ü" can be replaced with "ue". Notable people with the surname include:
Armin Mueller-Stahl (born 1930), German actor
Barbara R. Mueller, an American philatelist
Bill Mueller (born 1971), American baseball player
Brooke Mueller (born 1977), American actress
Caleb Mueller ("Decomposure"), Canadian electronic music mixer, graphic and visual artist
Christopher Mueller (disambiguation), several people
Cookie Mueller (1949–1989), American actress
Earl Mueller (?–1932), American basketball player
Ferdinand von Mueller (von Müller) (1825–1896), German-Australian botanist
Frederick Henry Mueller (1893–1976), U.S. administrator
Gene Mueller (born 1942), historian and author
George Mueller (NASA) (1918–2015), former NASA deputy administrator
Greg Mueller (born 1971), Canadian poker player
Gussie Mueller (1890–1965), U.S. jazz clarinetist
Ivan Mueller, Russian clarinetist
Jean Mueller, U.S. astronomer
John Mueller (born 1937), U.S. political scientist
Jon Mueller (born 1970), American drummer, percussionist, and composer
Jon Mueller (baseball) (born 1970), American college baseball coach
Karl Mueller (rock musician) (1963–2005), U.S. rock musician
Mervyn Mueller (1914–1984), Australian cricketer
Peter Mueller (hockey player) (born 1988), NHL player for the Florida Panthers
Peter Mueller (skater) (born 1954), former speed skater and speed skating coach from the United States
Robert Mueller (born 1944), U.S. lawyer, Director of the FBI
Scott Mueller, an author of books concerning personal computers, as well as president of Mueller Technical Research, a research and training firm.
Wolfgang Philipp Mueller (born 1966), German founder of VDM Publishing
Ryan Mueller, (born 1991), American football linebacker for San Diego Chargers