Cross sections for electron-impact single ionization of ground state Kr 10+ and Kr 11+ ions have been calculated in the distorted-wave approximation including both direct ionization and excitation-autoionization processes. The direct ionization cross sections are calculated for the ejection of 3s, 3p and 3d subshell electrons and the excitation-autoionization cross sections are calculated for the inner-shell excitations of the type 3p → nl (n = 4, 5, 6; l = 0, 1, 2, 3) and 3s → n l (n = 4, 5; l = 0, 1, 2, 3). In addition, the inner-shell excitation of the type 2p → 3d, 4l (l = 0, 1, 2, 3) is included for Kr 11+ . The radiative decay effect has been found to be negligible by carrying out explicit calculations of the radiative rates and autoionizing rates. The present results show that the direct process dominates the total ionization cross section for the two ions and that the contributions of excitation-autoionization are about 15% and 13% of the total cross sections for Kr 10+ and Kr 11+ ions, respectively. The present results are in good agreement with the experimental measurement of Oualim et al.