  Let $\phi:X\times\mathbb{R} \rightarrow X$ be a continuous flow on a compact
metric space $(X,d)$. In this article we constructively prove the existence of
a continuous Lyapunov function for $\phi$ which is strictly decreasing outside
$\mathcal{SCR}_d(\phi)$. Such a result generalizes Conley's Fundamental Theorem
of Dynamical Systems for the strong chain recurrent set.
