A tomographic measuring system is disclosed with at least two tomographic measuring devices, of which at least a first can interfere with a second in a manner disadvantageous for conducting measurements. In at least one embodiment, the system includes a switching-off mechanism at least in the first measuring device; and at least one external connection to the first measuring device for transmitting a switching-off signal to the switching-off mechanism, if the second measuring device is conducting a measurement or will conduct one. A method for conducting measurements with an appropriate tomographic measuring system is also disclosed.