The terahertz (THz) photoconductivity is investigated in HgTe/ HgCdTe-quantum wells (QWs) in Corbino geometry at various wavelengths of excited radiation. The radiation source is a p-Ge cyclotron laser (pulse width about 1 ms, repetition rate 1 Hz) which is tunable in the wavelength range 120 mm < l < 180 mm by an external magnetic field. It is shown that the photoconductivity is caused by the heating of two-dimensional electron gas (2DEG). A rough estimation yields relaxation time around 0.46 ms. Because of the low effective mass, this material system is especially interesting for detector applications. 1 Introduction The terahertz (THz) photoconductivity response via cyclotron resonance (CR) excitation in quantum Hall (QH) devices is studied during almost three decades [1]. The persistent interest in the problem arises not only from the interest in studying the basics of the nonequilibrium carrier dynamics in Laudau-quantized systems but also from a possible application of sensitive THz QH detectors. So far the efforts were concentrated on AIII-BV systems and mainly on GaAsbased heterostructures [2,3]. Narrow gap AIV-BVI systems with their intriguing properties are not investigated in detail with respect to their photoresponse (PR), yet. Such systems are characterized by strong spin-orbit effects and small effective masses of electrons [4] that can be exploited in detector construction.In this work we shed more light on the THz PR in HgTe/ HgCdTe-quantum wells (QWs) by performing spectral and time-resolved measurements. Specific features of the photoconductivity mechanisms are discussed. We found that the photoconductivity is caused by the heating of two-dimensional electron gas (2DEG) and the corresponding relaxation time is around 0.46 ms.