  We establish exponential localization for a two-particle Anderson model in a
Euclidean space ${\mathbb R}^{d}$, $d\ge 1$, in presence of a non-trivial
short-range interaction and a random external potential of the alloy type.
Specifically, we prove that all eigenfunctions with eigenvalues near the lower
edge of the spectrum decay exponentially in $L^2$-norm.
