  We prove that every {\rm(}not necessarily linear nor continuous{\rm)} 2-local
triple derivation on a von Neumann algebra $M$ is a triple derivation,
equivalently, the set Der$_{t} (M)$, of all triple derivations on $M,$ is
algebraically 2-reflexive in the set $\mathcal{M}(M)= M^M$ of all mappings from
$M$ into $M$.
