Fassbender, also spelled Faßbender, is a German surname. It is a variant of the word Fassbinder, which means "cooper". Notable people with the name include:

• Hedwig Fassbender (born 1954), German mezzo-soprano and academic
• Heike Fassbender (born 1963), German mathematician
• Heinrich Fassbender (1899–1971), German politician
• Joseph Fassbender (1903–1974), German painter and draughtsman
• Jürgen Fassbender (born 1948), German tennis player
• Max Fassbender (1868–1934), German cinematographer
• Michael Fassbender (born 1977), German-Irish actor
• Peter Fassbender (born 1946), Canadian politician
• Susan Fassbender (1959–1991), English singer, songwriter, and musician

• Heribert Faßbender (born 1941), German sports journalist
• Morgan Faßbender (born 1998), German footballer
• Zdenka Faßbender (1879–1954), Czech-born German operatic dramatic soprano

• Myrtle Fahsbender (1907–2001), American lighting expert
• Rainer Werner Fassbinder (1945–1982), German film director, dramatist and actor
• Brigitte Fassbaender (born 1939), German opera singer and stage director
• Willi Domgraf-Fassbaender (1897–1978), German opera singer, father of Brigitte
• Erwin Fassbind (born 1957), Swiss bobsledder