Abstract: A key ingredient to searches for physics beyond the Standard Model in B-s(0) mixing phenomena is the measurement of the B-s(0)-(B) over bar (0)(s) oscillation frequency, which is equivalent to the mass difference Delta m(s) of the B-s(0) mass eigenstates. Using the world's largest B-s(0) meson sample accumulated in a dataset, corresponding to an integrated luminosity of 1.0 fb(-1), collected by the LHCb experiment at the CERN LHC in 2011, a measurement of Delta m(s) is presented. A total of about 34 000 B-s(0) -> D-s(-)pi(+) signal decays are reconstructed, with an average decay time resolution of 44 fs. The oscillation frequency is measured to be Delta m(s) = 17.768 +/- 0.023 (stat) +/- 0.006 (syst) ps(-1), which is the most precise measurement to date.