  The effective Lagrangian formalism provides a way to study the new physics
effects at the electroweak scale. We study the Higgs pair production via the
vector-boson fusion (VBF) at the Large Hadron Collider within the framework of
the effective field theory. The effects from the dimension-six operators
involved in the VBF Higgs pair production, particularly $\mathcal{O}_{\Phi,2}$
and $\mathcal{O}_{\Phi,3}$ which are relevant to the triple Higgs
self-coupling, on the integrated cross section and various kinematic
distributions are investigated. We find that the distributions of Higgs pair
invariant mass, Higgs transverse momentum and rapidity are significantly
altered by the operators $\mathcal{O}_{\Phi,2}$ and $\mathcal{O}_{\Phi,3}$.
These features are helpful in disentangling the contributions from the
operators $\mathcal{O}_{\Phi,2}$ and $\mathcal{O}_{\Phi,3}$ in triple Higgs
self-coupling. We also provide the 5$\sigma$ discovery and 3$\sigma$ exclusion
limits for the coefficients of $\mathcal{O}_{\Phi,2}$ and
$\mathcal{O}_{\Phi,3}$ by measuring the VBF Higgs pair production process
including the sequential $H \rightarrow b\bar{b}$ decays at the $14~ {\rm TeV}$
LHC.
