Recent kaon decay results from NA62

In this paper we describe the NA62 experiment, which is a fixed target experiment at CERN SPS who aims at measuring the Branching Ratio of $K$$^{+}$ → $\pi$$^{+}$$\nu$$\bar{\nu}$$^{-}$ but also to study other rare kaon decays. Important results such as advances in measuring the Branching Ratio of $K$$^{+}$ → $\pi$$^{+}$$\nu$$\bar{\nu}$,the search for heavy neutral leptons and the search for lepton number violating kaon decays will be shown.