Abstract We analyze the effect of the mixing of the 1s and 2p x , y subbands on the ground state binding energy of the off‐axis donors in cylindrical nanotubes by using the recently developed fractal dimension method. Curves of the D 0 ground state binding energies as a function of the donor distance from axis are presented and compared with those obtained previously without consideration of the effect of the subband mixing. Also, we analyze the density impurity states in nanotubes with randomly distributed donors. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)