Observation of the Higgs boson production in association with a $t\bar{t}$ pair with the ATLAS detector

The measurement of Higgs boson production in association with a $t\bar{t}$ pair is essential to understand the top-quark couplings to the Higgs boson. This article presents the results of the recent analyses using up to 139~fb$^{-1}$ of $pp$ collision data collected at a center-of-mass energy of $\sqrt{s}$~=~13~TeV by the ATLAS detector at the Large Hadron Collider. The results of the searches in different Higgs boson decay channels are presented. The combination of the results is also presented. It uses up to 79.8~fb$^{-1}$ of data recorded at $\sqrt{s}$~=~13~TeV in combination with searches performed at $\sqrt{s}$~=~7~TeV and 8~TeV, corresponding to an additional 4.9~fb$^{-1}$ and 20.8~fb$^{-1}$ integrated luminosity of $pp$ collision data, respectively.