  A hovel is a generalization of the Bruhat-Tits building that is associated to
an almost split Kac-Moody group G over a non-Archimedean local field. In
particular, G acts strongly transitively on its corresponding hovel $\Delta$ as
well as on the building at infinity of $\Delta$, which is the twin building
associated to G. In this paper we study strongly transitive actions of groups
that act on affine ordered hovels $\Delta$ and give necessary and sufficient
conditions such that the strong transitivity of the action on $\Delta$ is
equivalent to the strong transitivity of the action of the group on its
building at infinity $\partial \Delta$. Along the way a criterion for strong
transitivity is given and the cone topology on the hovel is introduced. We also
prove the existence of strongly regular hyperbolic automorphisms of the hovel,
obtaining thus good dynamical properties on the building at infinity $\partial
\Delta$.
