In order to confirm and further examine the correlation between increased geomagnetic activity induced by Solar wind high-speed stream events (HSS), the crosscorrelation method was performed. The focus was on the period between 25th of January 2005. and 5th of May 2005., which is a declining phase of the solar cycle No 23. Magnetic field disturbances were represented by three geomagnetic indices AE, ap and Dst. Furthermore, to represent the response of the thermosphere we used densities derived from the accelerometer measurements on the GRACE satellite, normalised to an average altitude of 490 km. To distinguish the differences in response to the increased geomagnetic activity between day-side and night-side thermosphere, the data was divided into two groups depending on their local time (LT): LT=8-16 h and LT=20-4 h. Moreover, the data was divided into three groups according to their geodetic latitudes: high, medium and low latitude range to eventually detect and quantitatively describe global energy redistribution, from a source in the polar region to the near equator region. The analysis showed the greatest correlation for Dst geomagnetic index and smallest correlation for ap geomagnetic index, regardless the LT and latitudinal range. Also, the greater correlation was calculated between the indices and the densities for night-side thermosphere then for the day-side thermosphere. Time lags calculated from cross-correlation analysis are positive for all correlation taken into consideration, which confirms our expectations. The thermospheric expansion is a result of enhanced plasma convection and great energy input of the Joule heating near the polar latitudes in times of increased geomagnetic activity. Furthermore, time lags for the day-side situation are the smallest for high latitude range and the greatest for the low latitude range, which suggests the existence of equatorward transport of density disturbances. Diversely, greater time lags are calculated for medium latitude range then for low latitude range for the night-side. Therefore, observed travelling atmospheric disturbances (TADs) are more distinct on the day-side, with the average propagation speed of 700 m/s. This study contributes to the better understanding of Earth’s thermospheric responce to changes in the interplanety space, aims towards improved space weather predictions and more accurate thermospheic-inospeheric models.