A hyperideal polyhedron is a non-compact polyhedron in the hyperbolic $3$-space ${ℍ}^3$ which, in the projective model for ${ℍ}^3\subset {\mathrm{ℝ\mathbb{P}}}^3$, is just the intersection of ${ℍ}^3$ with a projective polyhedron whose vertices are all outside ${ℍ}^3$ and whose edges all meet ${ℍ}^3$. We classify hyperideal polyhedra, up to isometries of ${ℍ}^3$, in terms of their combinatorial type and of their dihedral angles.