We have investigated the temperature dependence of the exciton spin re
laxation between 10 and 300 K in undoped GaAs quantum wells by using t
he nonlinear transmission pump-probe and the four-wave-mixing techniqu
es. The electron spin relaxation rate above 40 K is found to be propor
tional to the product of the temperature and the momentum relaxation t
ime, which indicates that the D'yakonov-Perel' interaction governs the
spin-flip dynamics. The temperature independence below 30 K is consid
ered to be due to the band-mixing effect that determines the hole spin
relaxation, and the spin exchange is effective to the exciton spin re
laxation in these temperatures.