The ATLAS collaboration has carried out a set of measurements at center-of-mass energies of 8 TeV and 13 TeV, which provide stringent tests of the electroweak sector of the Standard Model, specifically on single, di- and multi-boson production cross sections. This paper gives a review of the latest results on these topics from ATLAS. It covers the inclusive production measurement of single W and Z/γ* bosons and the measurement of the complete set of coefficients that describe the angular distributions of the decay leptons in Z events. Also it includes the review of the inclusive and differential cross sections measurements for the production of two heavy gauge bosons (WW, WZ, ZZ) in the leptonic channels, the production measurement of the Z boson in association with one or two photons and the search for the WZ production via vector-boson scattering. These measurements are compared to (N)NLO predictions of the Standard Model and provide model-independent constraints on the so-called «new physics», by setting the limits on the anomalous triple or quartic gauge-boson couplings.