We report a measurement of the B0s-Bbar0s oscillation frequency using the CDF II Detector operating at the Fermilab Tevatron. This result is derived from 1 \rm fb-1 of pbarp collisions at √s =1.96 \rm TeV. We use semileptonic and hadronic Bs meson decays and observe a signature consistent with B0s-Bbar0s oscillations. The probability that background could fluctuate to mimic such a signature is 0.5%. Under the hypothesis that this is a signal for B0s-Bbar0s oscillations, we measure Δms = 17.33+0.42-0.21 (stat.) ± 0.07 (syst.) hbar \rm ps-1. When combined with the world average value for Δmd this yields |Vtd| |Vts| = 0.209+0.005-0.008.