We investigate theoretically the <<spin>>-flip and <<spin>>-conserving
processes for holes in single quantum wells. The presence of a spatia
l asymmetry in the hole envelope function Hamiltonian or the small lin
ear-in-Absolute value of k perturbation lifts the parity degeneracy of
the Luttinger dispersions of the symmetric quantum well. We show that
in this case a D'Yakonov and Perel-like mechanism holds for the relax
ation of the hole <<spin>>.