A container holder for an injector for injecting a fluid into the human or animal body includes at least one container clamping member for clamping onto a container that is filled with the fluid and a temperature control device for bringing the temperature of the container to a predefined temperature. To be able to clamp containers of different shapes and sizes onto the container holder and to bring the temperature of the containers to a desired temperature without any thermal loss, by means of the temperature control device, and to ensure easy and unimpeded clamping and removal of the container, the temperature control device is connected to a transporting device, by means of which the temperature control device can be brought into and out of thermal contact with the container that is clamped onto the container clamping member.
