  In this paper we obtain a new solution of a brane made up of a scalar field
coupled to a dilaton. There is a unique parameter $b$ in the solution, which
decides the distribution of the energy density and will effect the localization
of bulk matter fields. For free vector fields, we find that the zero mode can
be localized on the brane. And for vector fields coupled with the dilaton via
$\text{e}^{\tau\pi}F_{MN}F^{MN}$, the condition for localizing the zero mode is
$\tau\geq-\sqrt{b/3}$ with $0<b\leq1$, or $\tau>-1/\sqrt{3b}$ with $b>1$, which
includes the case $\tau=0$. While the zero mode for free Kalb-Ramond fields can
not be localized on the brane, if only we introduce a coupling between the
Kalb-Ramond fields and the dilaton via $\text{e}^{\zeta \pi}H_{MNL}H^{MNL}$.
When the coupling constant satisfies $\zeta>1/\sqrt{3b}$ with $b\geq1$ or
$\zeta>\frac{2-b}{\sqrt{3b}}$ with $0<b<1$, the zero mode for the KR fields can
be localized on the brane. For spin half fermion fields, we consider the
coupling $\eta\bar{\Psi}\text{e}^{\lambda \pi}\phi\Psi$ between the fermions
and the background scalars with positive Yukawa coupling $\eta$. The effective
potentials for both chiral fermions have three types of shapes decided by the
relation between the dilaton-fermion coupling constant $\lambda$ and the
parameter $b$. For $\lambda\leq-1/\sqrt{3b}$, the zero mode of left-chiral
fermion can be localized on the brane. While for $\lambda>-1/\sqrt{3b}$ with
$b>1$ or $-1/\sqrt{3b}<\lambda<-\sqrt{b/3}$ with $0<b\leq1$, the zero mode for
left-chiral fermion also can be localized.
