Telomeric regions of the human genome are of particular interest, because rearrangements of these regions are difficult to identify by conventional chromosome banding technology. With the advent of molecular cytogenetic techniques such as fluorescence in situ hybridization (FISH), it has been possible to investigate the terminus in cytogenetically visible terminal deletions and telomere rearrangements. We investigated telomere capture and aneuploidy rates in chronic lymphocytic leukemia (CLL) and chronic myeloid leukemia (CML) patients, as well as in healthy control subsets. Using a FISH technique, we estimated the random aneuploidy and telomere capture of the 21q22, SNRPN, and 15qter loci. Higher aneuploidy rates were found in the leukocytes of CLL and CML patients, compared with the control group, for the 21q22 and SNRPN loci. There was no difference in the aneuploidy rate between the CML and CLL groups. Telomere capture was found in the two groups (CLL and CML), but not in the control group. We propose that the telomere capture phenomenon is much more common than has been reported in the literature; however, its prognostic significance is yet to be established.