  The Higgs boson pair production process at hadron collider provides an
opportunity for performing a study of the trilinear Higgs boson self-coupling.
In this paper, we analyze the pair production of a neutral Higgs boson via both
gluon-gluon and $b$-$\bar{b}$ fusions in the littlest Higgs (LH) model at the
CERN LHC. We find that in some parameter space the relative corrections of the
total cross section to the SM prediction may reach a value of 24% when $x ~ (=4
f v'/v^2)=0.95$ at the LHC. We conclude that if the parameter $x$ has a value
above 0.8, the relative corrections contributed by the LH model reach values
beyond 8% and can be observed at the LHC.
