The Standard Model （SM）, actual fundamental theory for particle physics, provides a description of the ele-mentary particles and the fundamental interactions:the electromagnetic, weak and strong forces. Extensively tested by many world-wide experiments. Questions still remains to be answered for the completeness of this theory. New experiments have been designed and built to create and explore particle interactions at a new high energy scale. The data from those experiments will offer us a chance to test deeper our understanding of the SM and to search for physics beyond the SM. At the European Organization for Nuclear Research （CERN）, physicists and engineers from all over the world are searching to understand the fundamental laws of the universe. It is at CERN that the world’s largest and most sophisticated experimental instruments have been built, to accelerate particles at the energy of 3.5-4 TeV with the Large Hadron Collider （LHC） and collide them at the center of detectors. In this way physicists may be able to find hint on how particles interact, and further on the laws of nature.A Toroidal LHC Apparatus （ATLAS）, one of the four main detectors at LHC, aims at a wide range of physics studies, including the precision measurement of the SM processes, the search for the Higgs bosons and hint of new physics. The CMS experiment is aiming at a similar program.In ATLAS, di-boson production is one of the most important electro-weak processes. Among the massive vector boson pair production processes, W+W- production has a larger cross section compared to the WZ and ZZ ones. The electro-weak sector of the SM, as well as the strong interactions, can be tested through the precision measurements of the W+W-production cross section. A measurement of the W+W- production cross section in 8 TeV center of mass proton-proton collisions is presented here from data collected with the ATLAS detector at the LHC for a total integrated luminosity of 20.3 fb-1.The W+W- events are selected with 3 final states:ee, eμ, and μμ. In order to suppress the background contamination, mainly from the Drell-Yan and tt processes, a cut on missing transverse energy is applied and events with hadronic jets satisfying appropriate selection criteria are rejected. The major backgrounds, mainly including W +jets, top and Z+jets, are estimated by data driven technique. These background estimations are cross-checked by independent methods. The measured cross section is 71,0-1.1+1.1（stat）-5.0+5.7（syst）-2.0+2.1（lumi） pb, which is consistent with SM Next-to-Next-Leading-Order prediction of 63.2-1.8+2.0 pb.The normalized differential W+W- cross section α/1dX/dσ is determined as a function of six kinematic variables. The unfolded distributions for these variables are given. The possible deviation from the SM can be parameterized with operators of higher order dimensions. The operators of lowest dimension introduce anomalous triple gauge couplings （ATGC）. The distribution of the leading lepton pr is used to constrain the anomalous coupling constants. Therefore, the measurement of the coupling constants provides an indirect search for new physics at mass scales not accessible at the LHC. In our study, no evidence for anomalous WWZ and WWγ triple gauge-boson couplings is found, and limits on their coupling parameters are set. The limits are better by a factor of almost four compared to the limits previously published by the ATLAS collaboration.