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Let $\mathfrak{sp}_{2n}(\mathbb {K})$ be the symplectic Lie algebra over analgebraically closed field of characteristic zero. We prove that for anynonzero nilpotent element $X \in \mathfrak{sp}_{2n}(\mathbb {K})$ there existsa nilpotent element $Y \in \mathfrak{sp}_{2n}(\mathbb {K})$ such that $X$ and$Y$ generate $\mathfrak{sp}_{2n}(\mathbb {K})$.

On nilpotent generators of the symplectic Lie algebra