  The angular momentum (spin) acquisition by a collapsing domain wall at the
cosmological radiation-dominated stage is investigated. During the collapses,
primordial black holes and their clusters can be born in various mass ranges.
Spin accumulation occurs under the influence of tidal gravitational
perturbations from the surrounding density inhomogeneities at the epoch when
the domain wall crosses the cosmological horizon. It is shown that the
dimensionless spin parameter can have the small values $a_S<1$ only for
primordial black holes with masses $M>10^{-3}M_\odot$, whereas less massive
black holes receive extreme spins $a_S\simeq1$. It is possible that primordial
black holes obtain an additional spin due to the vector mode of perturbations.
