  Let $\{H_{\lambda}\}$ be a continuous family of H\'{e}non maps parametrized
by $\lambda\in M$, where $M\subset\mathbb C^k$ is compact. The purpose of this
paper is to understand some aspects of the random dynamical system obtained by
iterating maps from this family. As an application, we study skew products of
H\'{e}non maps and obtain lower bounds for their entropy.
