  We prove that every weak-local triple derivation on a JB$^*$-triple $E$ (i.e.
a linear map $T: E\to E$ such that for each $\phi \in E^*$ and each $a\in E$,
there exists a triple derivation $\delta_{a,\phi} : E\to E$, depending on
$\phi$ and $a$, such that $\phi T(a) = \phi \delta_{a,\phi} (a)$) is a
(continuous) triple derivation.
