Parents at a US school are livid that six teachers filmed playing the game "f---, marry, kill" about students during a drinking session at a local bar have kept their jobs.

The group of teachers were filmed surreptitiously sometime in mid-January at the Bangor Tavern in Michigan discussing students and other staff members.

The premise of the game involves a person being given three names, and having to select which of the three they would hypothetically kill, marry, or have sex with.

The video circulated around the small town several weeks ago before coming to public attention on Monday when it was posted on YouTube.

But after a school and police investigation, it was concluded that no teacher would lose their jobs, although a secretary resigned.

The teachers were instead given written or verbal reprimands, angering parents at a fiery meeting held yesterday.

"When I hear off-campus or off-duty conduct, we can't regulate what teachers, school staff, bus drivers do, unless it has an adverse effect on the school setting," school attorney Robert Huber said.

But the mother of a student with autism mentioned in the video has demanded an apology.

"I mean, I get it, I’ve gone out in public and (I've) vented myself, but I’m not a teacher," she told Newschannel 3.

"I think they should be held to higher standards and it doesn’t matter how angry you are, how you need to let off steam, you can’t talk about children this way. "