  We consider the ${\rm SU}(n+1)$ Toda system on a simply connected domain
$\Omega$ in ${\Bbb C}$, the $n=1$ case of which coincides with the Liouville
equation $\Delta u+8e^u=0$. A classical result by Liouville says that a
solution of this equation on $\Omega$ can be represented by some non-degenerate
meromorphic function on $\Omega$. We construct a family of solutions
parameterized by ${\rm PSL}(n+1,\,{\Bbb C})/{\rm PSU}(n+1)$ for the ${\rm
SU}(n+1)$ Toda system from such a meromorphic function on $\Omega$, which
generalizes the result of Liouville. As an application, we find a new class of
solvable ${\rm SU}(n+1)$ Toda systems with singular sources via cone spherical
metrics on compact Riemann surfaces.
