An apparatus for making cheese, comprising at least one vertical tubular draining column for receiving and draining cheese curd, provided with a dosing device for cutting off and discharging curd blocks, which dosing device comprises a dosing plate (23) vertically reciprocable in a sliding sleeve (22), for taking over a curd column operatively situated in the draining column and for positioning a cut-off curd block in the sliding sleeve, which is horizontally reciprocable between a first position under the draining column and a second position above a cheese mold, wherein supporting means are provided for supporting a curd block during a movement of the sliding sleeve, as well as operating means for removing the supporting means when the sliding sleeve is in the second position, wherein the dosing plate is further designed as supporting means for a curd block during the movement of the sliding sleeve, wherein the dosing plate is coupled with the operating means, such that the dosing plate can be pulled away horizontally from under the curd block when the sliding sleeve is in the second position.