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In this thesis an investigation of the ratio of the production cross section of W and Zbosons in association with one jet at LHC is performed.The cross-section ratio is measured with LHC proton-proton collision data at a center-of-mass energy of 7 TeV,collected by the ATLAS experiment in 2010,corresponding toan integrated luminosity of approximately 40 pb-1.The analysis is performed selectingW and Z bosons decaying in the muon channel.It is the first time the ratio of W and Z bosons production associated with one jetis measured at such a high center-of-mass energy,the measurement is the first one atthe LHC.This measurement constitutes a very important test of perturbative theoreticalcalculations based on the advantage of the partial and full cancellations of various uncer-tainties.It also serves as constraining backgrounds with similar topological signatures in thesearch for new physics phenomena at the LHC.The measured ratio value is presented as a function of cumulative jet transverse momentum thresholds and found,within statistical precision,to agree well with perturbativeLO and NLO QCD predictions.