We performed semi-classical Monte-Carlo (MC) analysis on D’yakonov–Perel’ spin relaxation process in two-dimensional channel of asymmetric (0 0 1) quantum-well. Our particular attention is directed to the persistent spin helix (PSH) state which is observable not in the time-resolved analysis but in the space-resolved analysis. It is demonstrated that the cubic term in the Dresselhaus model fairly leads to the decay of PSH state.