Feiss was born in Sacramento, California. He joined Hanna-Barbera around 1978 while still a teenager and worked on many series including the 1980s revival of The Jetsons. He was also a key animator on The Jetsons movie. In the 1990s he co-animated the Ren and Stimpy pilot "Big House Blues" for Nickelodeon, and was an animation director on The Ren & Stimpy Show during its first season.
David Feiss has also done some work in comics. In early issues of his cousin Sam Kieth's comic book The Maxx, David showcased his work with The Crappon (which looks like the Warner Brothers frog mascot), Fred Flower and Uncle Italian Moose, which had a very similar style to Cow and Chicken (it is reprinted in The Maxx Volume 5).
He was recently head of story for Sony's first CG animated film, Open Season. He has back The Detective (John R. Dilworth's New Cartoon Network).