A medical contact shock freezer (10) adapted for fast freezing a plurality of individual bags (41-43, 51-53) containing a medical liquid, the individual bags being arranged side by side, adjacent to each other, in which the contact shock freezer comprises a pair of freezing plates comprising an upper freezing plate (21) and a lower freezing plate (22), at least one of the upper and lower freezing plates of the pair being moveable to define i) a loading position in which sufficient separation is provided between the freezing plates to load or unload the individual bags between the freezing plates and ii) a freezing position in which each individual bag is in contact with and is clamped between a contact surface of the upper freezing plate and a contact surface of the lower freezing plate； and in which, in its freezing position, the contact surface of the upper freezing plate is arranged at an angle of at least 2° to the horizontal.
