The exploration of the properties of the Higgs boson presents compelling opportunities to test the effects of new physics beyond the Standard Model. By accurately determining the properties of the Higgs boson, we can gain a highly precise understanding of the Higgs sector, establish stringent constraints, and predict potential ranges for new physics model parameters. This contribution focuses on examining the constraints imposed on supersymmetry by analyzing the mass and couplings of the Higgs boson. We conduct scans across the 19-parameter space of the phenomenological minimal supersymmetric Standard Model. We investigate the fraction of scan points that can be excluded based on Higgs measurements, considering the precision of coupling measurements achieved during LHC Run 2, the anticipated precision for the HL-LHC program, as well as $e^+e^-$ colliders. These findings are then compared with constraints derived from searches for missing transverse energy at the LHC and from experiments related to dark matter.