Mourinho was agitated after midfielder Nemanja Matic was sent off, and a confrontation with match referee Jonathan Moss saw him get sent into the stands.
The ban comes into immediate effect, and Mourinho will miss the Blues’ EPL clash with Stoke on Saturday.
An FA statement read: “Following an Independent Regulatory Commission hearing today, Jose Mourinho has been given a one-match stadium suspension with immediate effect and fined £40,000.
“The Chelsea manager admitted an FA charge of misconduct regarding his language and/or behaviour towards the match officials in or around the dressing room area during half-time of the game against West Ham United on 24 October 2015.
“With regard to Chelsea coach Silvino Louro, who denied an FA misconduct charge in relation to the same game, The FA, having considered further representation, withdrew the formal charge of improper conduct but reminded him of his responsibilities.”