City said in a statement the Argentine international had committed five separate breaches of contract including "an obligation to participate in any matches in which the player is selected to play ... when directed by a club official".
After the 2-0 defeat at Bayern, manager Roberto Mancini told reporters that Tevez had refused his request to go on as a second-half substitute.
The player denied the accusation, saying he had not been asked to go on but to warm up, and felt he had already warmed up sufficiently.
The other contract breaches City said Tevez had committed were:
* An obligation to undertake such other duties and to participate in such other activities as are consistent with the performance of the player's duties and as are reasonably required of him
* An obligation to comply with and act in accordance with all lawful instructions of any authorised official of the club
* An obligation to observe the statutes and regulations of FIFA and UEFA, the FA Rules, the League Rules, the Code of Practice and the club rules, including but not limited to breach of Rule E3(1) of the FA Rules (obligation on the player all times to act in the best interests of the game and not act in any manner which is improper or which brings the game into disrepute)
* An obligation not to knowingly or recklessly do anything or omit to do anything which is likely to bring the club or the game of football into disrepute or cause the player or the club to be in breach of the Rules (as defined in the contract) or cause damage to the club.
Tevez was also suspended by City for two weeks but the suspension was deemed to have already been served. He has been given a written warning as to his future conduct and City have written to the Professional Footballers' Association for ratification of the fine.
Tevez has 14 days to lodge an appeal.
