Niasse went down after contact with Palace defender Scott Dann, and referee Anthony Taylor gave a penalty.
The striker can choose to respond to the charge by 6pm tonight. Following this deadline, a panel of three will consider the charge.
If the striker is found guilty of simulation, he could face a ban. Niasse is the first player to be charged under new laws.
In a statement, the FA said:
“Everton’s Oumar Niasse has been charged for ‘Successful Deception of a Match Official’ following the game against Crystal Palace on 18 November 2017.
“It is alleged he committed an act of simulation which led to a penalty being awarded in the 5th minute of the game.
” Incidents which suggest a match official has been deceived by an act of simulation are referred to a panel consisting of one ex-match official, one ex-manager and one ex-player. Each panel member will be asked to review all available video footage independently of one another to determine whether they consider it was an offence of ‘Successful Deception of a Match Official’.”
“Only in circumstances where the panel are unanimous would The FA issue a charge.”
Niasse has scored six times in nine appearances this season after forcing his way back into the first-team squad.