In this paper methods of minimal reduction of TU-games are considered. This methods can be used for a regularization of dynamic cooperative games. In the first part of the paper authors formulate a condition for consistency of the subcore in TU-game with respect to the modified Davis-Maschler reduction of the game. In the second part the problem of minimal reduction of the game is formulated and treated. For a given class of TU-games the solution of this problem is proposed for the core and DM-reduction. It is shown that the number of the players removed on the base of MDM-reduction is not more than in the case of DM-reduction.