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An edge-colored graph is \emph{rainbow }if no two edges of the graph have thesame color. An edge-colored graph $G^c$ is called \emph{properly colored} ifevery two adjacent edges of $G^c$ receive distinct colors in $G^c$. A\emph{strongly edge-colored} graph is a proper edge-colored graph such thatevery path of length $3$ is rainbow. We call an edge-colored graph $G^c$\emph{rainbow vertex pair-pancyclic} if any two vertices in $G^c$ are containedin a rainbow cycle of length $\ell$ for each $\ell$ with $3 \leq \ell \leq n$.In this paper, we show that every strongly edge-colored graph $G^c$ of order$n$ with minimum degree $\delta \geq \frac{2n}{3}+1$ is rainbow vertexpair-pancyclicity.

Rainbow vertex pair-pancyclicity of strongly edge-colored graphs