  Deviations from the standard Higgs sector generated by some new physics at an
energy scale $\Lambda$ could be described by an effective $SU(3)_c \times
SU(2)_L \times U(1)$ invariant non-renormalizable Lagrangian terms of dimension
six. A systematic study of various Higgs boson production channels ($\gamma
\gamma$, $ZZ$, $WW$, $b \bar b$, $\tau \bar \tau$) at the International Linear
Collider (ILC) in the SM extension by effective operators is carried out.
Statistical methods are used to establish a degree of consistency for the
standard Higgs sector with the forthcoming data, using the expected ILC
accuracies of the Higgs boson production channels. Global fits in the
two-parametric anomalous coupling space indicating to possible deviations from
the standard Higgs-fermion and Higgs-gauge boson couplings are performed.
