  We investigate the chiral restoration at finite temperature $(T)$ under the
strong external magnetic field $\vec{B}=B_{0}\hat{z}$ of the SU(2) light-flavor
QCD matter. We employ the instanton-liquid QCD vacuum configuration accompanied
with the linear Schwinger method for inducing the magnetic field. The
Harrington-Shepard caloron solution is used to modify the instanton parameters,
i.e. the average instanton size $(\bar{\rho})$ and inter-instanton distance
$(\bar{R})$, as functions of $T$. In addition, we include the meson-loop
corrections (MLC) as the large-$N_{c}$ corrections because they are critical
for reproducing the universal chiral restoration pattern. We present the
numerical results for the constituent-quark mass as well as chiral condensate
which signal the spontaneous breakdown of chiral-symmetry (SB$\chi$S), as
functions of $T$ and $B$. Besides we find that the changes for the $F_\pi$ and
$m_\pi$ due to the magnetic field is relatively small, in comparison to those
caused by the finite $T$ effect.
