This Letter describes the extension of the linear-scaling divide-and-conquer (DC) approach to the time-dependent Hartree-Fock (TDHF) method for evaluating dynamic polarizabilities. In this DC-TDHF method, the density response appeared in the coupled perturbed Hartree-Fock equation of the TDHF method as well as the unperturbed Hartree-Fock density matrix are constructed in the DC manner. Numerical assessments demonstrate that the present DC-TDHF method gives highly accurate results with less computational costs. (C) 2009 Elsevier B. V. All rights reserved.