In the 3-dimensional hyperbolic space consider generalized Lambert-cube tilings, i.e. face-transitive tilings by cubes with dihedral angles \(\frac{\pi}{p}\), \(\frac{\pi}{q}\) and \(\frac{\pi}2\), the reflections in the side planes of the cubes being elements of symmetry group. Those ball packings where the ball centres lie either in the Lambert-cubes or in the vertices of the cubes were investigated by the author earlier. For some values of parametrs \(p\) and \(q\) the cubes have ideal vertices which lie on the absolute, these vertices can be centres of some horoballs.
In the paper under review the optimal horoball packings are investigated.