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Although it is acknowledged that GRB redshift is cosmological at present, butit in fact has never been confirmed. However, the fact is still unclear becausewhich may be cosmological redshift (including possibly the host galaxy redshiftor the background galaxy redshift) or the redshift results from gravity ofneutron star; in other words, GRB redshift may be related to its distance ornot. Here, I enumerate a series of evidences, including three methods, todetermine whether the GRB distance does depend on the redshift. Firstly, thecorrelation analysis shows that there is no correlation between the fluence of131 GRBs (and the 1 s peak photon flux of 111 GRBs) and the redshift althoughthere is a significant correlation between the apparent magnitude of 32 hostsand the redshift. Secondly, from the number-redshift relation of GRBs and thedeductive reasoning, one can deduce an absurd conclusion that the probabilityof a nearby galaxy generating a GRB event would vary inversely as its distancesquare if GRB indeed comes from an external galaxy and the distance depends onthe redshift. Thirdly, if the distance is related to the redshift, then thevariables of fluence and peak flux definitely cannot be separated from thevariable of redshift in distribution functions of both the fluence-redshift andthe peak flux-redshift; while the variables separation tests show that they ineffect do, and we then can exactly forecast the values of the fluence and thepeak flux for the GRBs with redshift z > 4.5. Other evidences all show that GRBdistance is independent from the redshift without exception.

The Distance of GRB is Independent from the Redshift