Finster is a surname. Notable people with the surname include:
Felix Finster, mathematicianHoward Finster, folk artistFictional charactersBaby-Face Finster, a criminal disguised as a baby in the Merrie Melodies animated short film Baby Buggy BunnyFinster, a villain in Mighty Morphin Power RangersChuckie Finster, Chaz Finster, Kira Finster and Kimi Finster from the animated Nickelodeon TV series Rugrats and All Grown Up!Lorraine Finster, Minnie Driver's character from the TV show Will & GraceMiss Muriel P. Finster, assistant principal from the animated Disney TV series RecessIrwin Finster, a villain in the video game Wasteland