Results on Higgs boson physics with proton-proton collision data at $\sqrt{s}$ = 13 TeV collected by the ATLAS and CMS detectors at the Large Hadron Collider corresponding to an integrated luminosity up to 15 fb$^{-1}$ taken during 2015 and part of 2016 are presented. Standard Model Higgs boson measurements in different production and decay channels such as $H \to \gamma \gamma$, $ZZ$, $WW$, $\mu\mu$, $b\bar b$, as well as Beyond-Standard-Model searches for first indications of an extended Higgs boson sector, are summarized. Measurements of the fiducial and differential cross sections for Higgs boson production in the $H \to \gamma \gamma$ and $H \to ZZ^* \to 4 l$ channels are also included.