A time delays of X-rays in the energy range of 20 – 200 keV registered by BATSE spectrometer during a space flight of CGRO have been considered. Pair wise correlation functions for all time series with a significant count rates were computed. Delay spectra are based via X-ray energy for different phases of flares. In the initial phase of the burst the delays increase monotonically with increasing energy. At the peak of the radiation pattern of the spectrum of different bursts is changing: from U-shaped to monotonically decreasing. On the decay phase of the count rate the delay spectra rather repeat the same of the maximum. A comparison of the delay spectra to the delays, following the models of the transport of the accelerated electrons were carried out.