  We consider the measurement of the trilinear couplings of the neutral Higgs
bosons~($H^0, h^0$) in the minimal supersymmetric standard model~(MSSM) at a
high energy $e^+$ $e^-$ linear collider in the light of the discovery of a
Higgs boson at the CERN Large Hadron Collider~(LHC). We identify the state
observed at the LHC with the lightest CP-even Higgs boson of the MSSM. We
implement this constraint, as well as all the other relevant experimental
constraints, on the parameter space of the MSSM in order to study the
feasibility of measuring the trilinear couplings of the neutral Higgs bosons.
For the measurement of trilinear couplings, we consider the multiple Higgs
production processes. We delineate the regions of MSSM parameter space where
the trilinear couplings of the neutral Higgs bosons could be measured at a high
energy electron-positron collider.
