We investigate the gluon Green’s function in the high energy limit of QCD using a recently proposed iterative solution of the Balitsky–Fadin–Kuraev–Lipatov (BFKL) equation at next–to–leading logarithmic (NLL) accuracy. To establish the applicability of this method in the NLL approximation we solve the BFKL equation as originally written by Fadin and Lipatov, and compare the results with previous studies in the leading logarithmic (LL) approximation.