The paper analyzes the capacities of computed tomography (CT) and magnetic resonance imaging (MRI) in the postoperative period to evaluate the efficiency of surgical removal of the most malignant type of gliomas of the cerebral hemispheres. A total of 45 patients with different histological forms of cerebral hemispheral gliomas were examined, 37 of them with glioblastomas. Comparison of the results obtained by CT and MRI within the first 24 hours indicated that the latter was of greater informative value in all cases. At the same time only the use of a strict methodological approach to postoperatively estimating the remaining portions of glioblastomas makes it possible to apply these two methods as objective criteria for evaluating the efficiency of removal of a glioblastoma and hence the efficiency of subsequent therapeutic protocols. Contrast-enhanced MRI may be regarded as the method of choice in the primary assessment of patients with suspected recurrent glioblastoma.