This dissertation presents the final measurements of the forward-backward asymmetry (AFB) of top quark-antiquark pair events (tt) at the Collider Detector at Fermilab (CDF) experiment. The tt events are produced in proton-anti-proton collisions with a center of mass energy of 1:96 TeV during the Run II of the Fermilab Tevatron. The measurements are performed with the full CDF Run II data (9:1 fb^-1) in the final state that contain two charged leptons (electrons or muons, the dilepton final state), and are designed to confirm or deny the evidence-level excess in the AFB measurements in the final state with a single lepton and hadronic jets (lepton+jets final state) as well as the excess in the preliminary measurements in the dilepton final state with the first half of the CDF Run II data. New measurements include the leptonic AFB (A^l FB), the lepton-pair AFB (A^ll FB) and the reconstructed top AFB (A^tt FB). Each are combined with the previous results from the lepton+jets final state measured at the CDF experiment. The inclusive A^l FB, A^ll FB, and A^tt FB measured in the dilepton final state are 0:072 +- 0:060, 0:076 +- 0:081, and 0:12 +- 0:13, to be compared with the Standard Model (SM) predictions of 0:038 +- 0:003, 0:048 +- 0:004, and 0:010 +- 0:006, respectively. The CDF combination of A^l FB and A^tt FB are 0:090^+0:028 -0:026, and 0:160 +- 0:045, respectively. The overall results are consistent with the SM predictions.
