  We present new soliton and hairy black hole solutions of
Einstein-non-Abelian-Proca theory in asymptotically anti-de Sitter space-time
with gauge group ${\mathfrak {su}}(2)$. For static, spherically symmetric
configurations, we show that the gauge field must be purely magnetic, and solve
the resulting field equations numerically. The equilibrium gauge field is
described by a single function $\omega (r)$, which must have at least one zero.
The solitons and hairy black holes share many properties with the corresponding
solutions in asymptotically flat space-time. In particular, all the solutions
we study are unstable under linear, spherically symmetric, perturbations of the
metric and gauge field.
