  Let $X$ be a complex topological vector space with $dim(X)>1$ and
$\mathcal{B}(X)$ the set of all continuous linear operators on $X$. The concept
of hypercyclicity for a subset of $\mathcal{B}(X)$, was introduced in
\cite{AKH}. In this work, we introduce the notion of hypercyclic criterion for
a subset of $\mathcal{B}(X)$. We extend some results known for a single
operator and $C_0$-semigroup to a subset of $\mathcal{B}(X)$ and we give
applications for $C$-regularized groups of operators.
