It is the third time this season the 53-year-old Portuguese has been charged by the FA — he was suspended for a game and fined after an altercation with referee Mark Clattenburg and previously received a hefty fine for critical remarks about the appointment of another referee.
Mourinho got his marching orders in the first-half for kicking a bottle of water on the touchline as he was angered by Moss booking Paul Pogba for diving.
“Jose Mourinho has been charged following Manchester United’s game against West Ham United on Sunday,” tweeted the FA.
“It is alleged his behaviour in or around the 27th minute of the game amounts to improper conduct.
“He has until 6pm (1800GMT) on 1 December 2016 to respond to the charge.”
It is not the first time Mourinho has clashed with Moss.
Last season, while in charge of Chelsea, Mourinho had an altercation with the same official in a game at West Ham which resulted in a one-match stadium ban.
Sunday’s draw left United on 20 points after 13 matches — their worst start to a league campaign since the 1989/90 season — some 11 points adrift of his old club Chelsea.