A device for supporting a mobile calorimeter on a measuring object, especially a monitor, includes a flexible tube-shaped carrying belt (G) which is at least partially filled with a granular loading material and which is provided with a fixing member (1) for its installation on the calorimeter (MD). The supporting device may further include a pocket (T) provided with measuring and operating apertures for receiving the mobile calorimeter (MD), and the carrying belt (G) may be fastened to the pocket (T). The carrying belt (G) may be formed substantially as a closed loop and may be provided with a Velcro fastener for its lengthwise adjustment. The supporting device permits easy and comfortable positioning of the measuring apparatus on a monitor and at the same time serves as a carrying belt.