Fassbender is a surname of German origin. 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, German mathematician
- 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), Irish actor living in Portugal
- Peter Fassbender (born 1946), Canadian politician
- Susan Fassbender (1959–1991), English singer, songwriter, and musician