Applying perturbative QCD, we study the process B c ! D s in the technicolor with a massless scalar doublet model (TCMLSM). There are mainly two mechanisms contributing to the B c ! D s process. One proceeds through the short distance b ! s transition and the other through weak annihilation accompanied by a photon emission. We nd that, compared with the standard model, the modi cation of B c ! D s from p (the physical pions in the TCMLSM) is so small that can beneglected for the allowed mass of p . The weak-annihilation contribution is found to beabout one order larger than that of the electromagnetic penguin diagrams.PACS numb e r s :12.15. Lk, 12.60.Nz, 13.30.Eg