Vector-boson scattering (VBS) is one of the most important physics processes at the Large Hadron Collider for studying the mechanism of electroweak symmetry breaking. This article presents the latest measurements of the electroweak diboson with two jets productions, including VBS processes, by the ATLAS experiment using $pp$ collisions data at $\sqrt{s}=13$ TeV corresponding to integrated luminosities of 36-139 fb$^{-1}$. The same-sign $W^{\pm}W^{\pm}jj$ and $ZZjj$ productions are observed with greater than $5\sigma$ accuracies. The $Z\gamma jj$ production and the inclusive electroweak $VVjj$ production in semi-leptonic final states are measured with $4.2\sigma$ and $2.7\sigma$ standard deviations from the background-only hypothesis, respectively. The results are compared with several theoretical predictions and good agreements with the Standard Model are reported.