  An Erd\H{o}s-Ko-Rado set of generators of a hyperbolic quadric is a set of
generators which are pairwise not disjoint. In this article we classify the
second largest maximal Erd\H{o}s-Ko-Rado set of generators of the hyperbolic
quadrics $\mathcal{Q}^{+}(4n+1,q)$, $q\geq3$.
