We presented the temporal study of all swift/XRT observations of GRB afterglowsrndiscovered between January 2005 and July 2005 which they have two or more thanrntwo breaks and well known redshift. After constructing and fitting all light curvesrnusing MATLAB programming, we have analyzed the temporal and spectral indicesrnfor each segments in the canonical X-ray afterglow light curves.rnThe temporal decay index is calculated using log f1−log f2rnlog t2−log t1rn. And the numericalrnvalues, resulted from the manipulation, were mostly consistent to the theoreticalrntemporal decay index for each GRBs in each segments. And the spectral index isrnfrom closure relation such as = 2 + .rnIn our work, we have used the data of flux decay and time from the Evans et alrnswift/XRT online repository of United Kingdom solar system data center (UKSSDC).rnOnce we extracted data, we have analyzed the given data to identify the behaviorsrnof the afterglow light curves. The data, we have used, had positive and negativernerror approximation. Then we have analyzed the data and compared the result andrnthe theoretical value of temporal decay index. Finally the results have been nearlyrnconfirmed to 3 . 1 . 5 in early steep decay, the shallow decay with 0.5 . 2 . 1,rnnormal decay with 1.0 < 3 < 1.5 and late steep decay 4. > 2.