The most recent inclusive and differential cross-section results for top quark pair and single-top quark production are presented. Using the data set collected with the ATLAS experiment at the LHC at different centre-of-mass energies, the latest measurements of the inclusive and differential $t\bar{t}$ cross-section in the dilepton decay channel at $\sqrt{s} = 13$ TeV and 13.6 TeV, respectively, are shown. Additionally, the jet substructure differential cross-section results focusing on boosted top-quarks in the $t\bar{t}$ events at $\sqrt{s} = 13$ TeV are presented. These results are compared to several Monte Carlo (MC) predictions that combine the $t\bar{t}$ production QCD predictions at next-to-leading-order (NLO) precision with the leading-order (LO). Furthermore, the latest measurement of the t-channel single-top quark cross-section at $\sqrt{s} = 13$ TeV, accompanied by the observation of the t-channel single-top production $\sqrt{s} = 5.02$ TeV are shown. Finally, a measurement of the single-top-quark cross-section in the s-channel is performed, allowing to claim the evidence of this rare process for the first time. All the results are in good agreement with the Standard Model predictions (SM).