Finster is a surname. Notable people with the surname include:
Felix Finster, German mathematician Howard Finster, American artist Carl Hermann Arthur Finster, German diplomat and genealogist
Fictional characters Baby-Face Finster, a criminal disguised as a baby in the Merrie Melodies animated short film Baby Buggy Bunny Finster, a villain in Mighty Morphin Power Rangers Chuckie Finster, Chaz Finster, Kira Finster and Kimi Finster from the animated Nickelodeon TV series Rugrats Lorraine Finster, a character from the TV show Will & Grace Miss Muriel P. Finster, assistant principal from the animated Disney TV series Recess Irwin Finster, a villain in the video game Wasteland
See also F1NN5TER, Twitch streamer Fenster, surname Finsta (social media), a type of Instagram account