Kim Kardashian Flaunts Choker from Nicole Brown Simpson

Kim Kardashian's showing off a new accessory that also happens to be directly connected to the woman O.J. Simpson killed.

Kim put on a choker with a cross pendant and went on Snapchat ... where she revealed it was a gift Nicole Brown Simpson gave to her mother.

Of course, Kris Jenner and Nicole were very good friends -- and Kim and her sisters called Simpson "Uncle O.J." when they were growing up.

Unclear what made Kim nostalgic. Maybe she's binge watching 'The People v. O.J.'