The purpose of the invention is to provide a container for cryopreservation equipped with a coating that has the ability to inhibit the adhesion of cells or proteins and also has resistance to not only aqueous solvents but also resistance to organic solvents (for example, cryoprotective agents, especially dimethylsulfoxide). The invention provides a container for the cryopreservation of cells or proteins, at least part of the container surface of which is equipped with a coating including a repeating unit including a group represented by formula (a) and a repeating unit including a group represented by formula (b). (In the formula, U a1 , U a2 , U a3 , U b1 , U b2 , U b3 , and An - are as described in the specification and claims.)