Anže (Archaic nominative: Anza) is a Slovene given name. Notable people with the given name include:
- Anže Berčič (born 1990), Slovenian slalom canoeist
- Anže Jelar (born 1991), Slovenian footballer
- Anže Kopitar (born 1987), Slovenian professional ice hockey player
- Anže Košnik (born 1991), Slovenian footballer
- Anže Kuralt (born 1991), Slovenian ice hockey player
- Anže Lanišek (born 1996), Slovenian ski jumper
- Anže Semenič (born 1993), Slovenian ski jumper
- Anže Šetina (born 1986), Slovenian skeleton racer
- Anže Tavčar (born 1994), Slovenian swimmer
- Anže Zorc (born 1994), Slovenian footballer