The thermoluminescence（TL） and electron spin resonance（ESR） characteristics of anhydrous magnesium sulphate powder irradiated with 60Co γ-rays have been investigated.TL glow curves are deconvoluted by the general order kinetics equation into three elementary peaks

then the trap parameters are obtained for each peak by fitting and calculation with method of different heating rates.ESR spectra are me’asured at room temperature and -150℃

and isochronal annealing characteristics for irradiated MgSO4 samples has been investigated.The experimental data of TL and ESR dose-responses are fitted with a dose response function to get their nonlinear characteristic parameters

from which it is shown that TL dose-responses for three glow peaks are superlinear

while ESR dose-response for peak f （g=2.0037） appears sublinear and that for peak g（g=1.9976） remains linear at dose level up to 20 kGy.