We assume that the 125 GeV Higgs discovered at the LHC is the heavy CP-even Higgs of the two-Higgs-doublet models, and examine the parameter space in the Type-I, Type-II, Lepton-specific and Flipped models allowed by the latest Higgs signal data, the relevant experimental and theoretical constraints. Further, we show the projected limits on tan β, sin(β − α), Hff and HV V couplings from the future measurements of the 125 GeV Higgs at the LHC and ILC, including the LHC with integrated luminosity of 300 fb −1 (LHC-300 fb −1 ) and 3000 fb −1 (LHC-3000 fb −1 ) as well as the ILC at √ s = 250 GeV (ILC-250 GeV), √ s = 500 GeV (ILC-500 GeV) and √ s = 1000 GeV (ILC-1000 GeV). Assuming that the future Higgs signal data have no deviation from the SM expectation, the LHC-300 fb −1 , LHC-3000 fb −1 and ILC-1000 GeV can exclude the wrong-sign Yukawa coupling regions of the Type-II, Flipped and Lepton-specific models at the 2σ level, respectively. The future experiments at the LHC and ILC will constrain the Higgs couplings to be very close to SM values, especially for the HV V coupling.