We present results from simultaneous observations of Cyg X‐1 withINTEGRALandRXTEin 2002 November and December, employing the newRXTEcalibration fromHEASOFT5.3. The broad‐band X‐ray/&ggr;‐ray spectrum is well described by Comptonization spectra with an additional reflection component. The temperature of the Comptonizing plasma iskTe∼ 60–80 keV and its optical depth is &tgr; ∼ 0.8–1.2. The covering factor of the reflector is &OHgr;/2&pgr; ∼ 0.1. There is a possible soft excess below 10 keV, interpreted as emission from the accretion disk. The spectral parameters are slightly different from those obtained by us earlier due to the differentRXTE‐PCA calibration. © 2004 American Institute of Physics