The measurements of the properties of the Higgs boson at the LHC experiments have entered the precision era, however, some channels are still dominated by statistical uncertainties. A larger data sample is required to ensure whether the observed resonance completely agrees with the Standard Model (SM) predictions, or belongs to a new physics scenario. At the high luminosity LHC (HL-LHC) phase of data-taking $\sim$3000 fb$^{-1}$ of integrated luminosity will be collected over the span of ten years. Detector degradation is also expected due to large rates of particle interactions and necessary upgrades are being carried out to maintain or improve the present performance. Current measurements are expected to improve with access to rare production and decay modes of the Higgs boson. It will thus be possible to derive additional constraints on new physics scenarios. This presentation discusses the foreseen development in Higgs boson precision physics.