The CP-conserving triple-gauge-boson couplings, g1Z, κγ, λγ, g5Z, κZ and λZ are measured using hadronic and semi-leptonic W-pair events selected in 629 pb−1 of data collected at LEP with the L3 detector at centre-of-mass energies between 189 and 209 GeV. The results are combined with previous L3 measurements based on data collected at lower centre-of-mass energies and with the results from single-W production and from events with a single-photon and missing energy. Imposing the constraints κZ=g1Z−tan2θW(κγ−1) and λZ=λγ, we obtain for the C and P conserving couplings the results:gZ1= 0.966 ± 0.033(stat) ± 0.015(syst),κγ = 1.013 ± 0.066(stat) ± 0.026(syst),λγ =−0.021 ± 0.035(stat) ± 0.017(syst). Results from the analysis of fully leptonic W-pair decays are also given. All results are in agreement with the Standard Model expectations and confirm the existence of self-couplings among electroweak gauge bosons.