  Studying the properties of the Higgs boson can be an important window to
explore the physics beyond the Standard Model (SM). In this work, we present
studies on the implications of the Higgs precision measurements at future Higgs
Factories. We perform a global fit to various Higgs search channels to obtain
the 95 % C.L. constraints on the model parameter spaces of Two Higgs Double
Model (2HDM) and Minimal Supersymmetric Standard Model (MSSM). In the 2HDM, we
analyze tree level effects as well as one-loop contributions from the heavy
Higgs bosons. The strong constraints on $\cos(\beta-\alpha)$, heavy Higgs
masses and their mass splitting are complementary to direct search of the LHC
as well as possible future Z pole precision measurements. For the MSSM, we
study both the Higgs couplings and mass precisions. The constraints on the
CP-odd Higgs mass $m_A$ and stop mass scale $m_{SUSY}$ can be complementary to
the direct search of HL-LHC. We also compare the sensitivity of various future
Higgs factories, namely Circular Electron Positron Collider (CEPC), Future
Circular Collider (FCC)-ee and International Linear Collider (ILC).
