  We consider the measurement of the trilinear couplings of the neutral Higgs
bosons 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 Higgs boson~($h^0$) of the MSSM, and impose the constraints
following from this identification, as well as other experimental constraints
on the MSSM parameter space. In order to measure trilinear neutral Higgs
couplings, we consider different processes where the heavier Higgs boson
($H^0$) of the MSSM is produced in electron-positron collisions, which
subsequently decays into a pair of lighter Higgs bosons. We identify the
regions of the MSSM parameter space where it may be possible to measure the
trilinear couplings of the Higgs boson at a future electron-positron collider.
A measurement of the trilinear Higgs couplings is a crucial step in the
construction of the Higgs potential, and hence in establishing the phenomena of
spontaneous symmetry breaking in gauge theories.
