Then NA62 experiment at CERN collected the world's largest dataset of charged Kaons, the main goal being the measurement of the $\mathcal{B}(K^+ \rightarrow \pi^+ \nu \bar{\nu})$. New results from the analyses of rare kaon and pion
decays using data samples collected in 2017-2018 are presented. A sample of $\pi^0 \rightarrow e^+ e^-$ decays was collected and preliminary results of the branching ratio are reported. Also, a sample of $K^+ \rightarrow \pi^+ \gamma \gamma$ decays was collected and measurement of the branching ratio, study of the di-photon mass spectrum, and the first search for production and prompt decay of an axion-like particle with gluon coupling in the process $K^+ \rightarrow \pi^+ A, A \rightarrow \gamma \gamma$ are reported.