The Eastlands club have also expressed their disappointment at the "actions of his representative" over the matter.
The relationship between Tevez and City manager Roberto Mancini has reportedly deteriorated in recent weeks although the player is understood to be unhappy at being apart from his two daughters who live in Argentina.
A statement from the club read: "It is with disappointment that we confirm to our supporters that Carlos Tevez has submitted a written transfer request. The club can also confirm that the request has been rejected.
"The club remains disappointed by this situation and particularly with the actions of Carlos' representative. Roberto Mancini and all at the club have shown, and will continue to show, sensitivity to Carlos' personal circumstances including the issue of his family being based overseas.
"Indeed following his suspension as a result of the game against Bolton, Carlos requested, and was given, special dispensation by the manager to take leave overseas. The written transfer request is in stark contrast to Carlos' stated position in both public and club contexts.
"Significantly, over recent months, the club has also received numerous requests from Carlos' representative to renegotiate and improve his playing contract as well as more recently a request to extend that contract by another year."
The statement, on the club's official website www.mcfc.co.uk, continued: "However, in line with the club's policy of not negotiating playing contracts mid-season this has not been granted.
"Carlos' current five-year contract has three and a half years to run and he is the highest paid player at the Manchester City Football Club.
"This is both an unfortunate and unwelcome distraction and the club will remain focused on the games ahead in what is turning out to be a very promising season. The door remains open for Carlos to be selected to play."
Source: PA
Source: PA