The TSEE characteristics of LiF(Mg,Cu,Na,Si)phosphor for gamma and beta rays are described. The TSEE glow curve of this phosphor showed 5 peaks in the range from 20 ℃ to 400 ℃; and its main peak appeared at 240℃. The sensitivity of the phospor for ^(60)Co gamma rays was about 450counts/mR. TSEE energy dependence for various beta radiation was nearly constant (±10%) in the mean beta particle energy range from 0.02MeV to 0.8MeV. The efficiency of TSEE of the phosphor for beta radiation was (2∼15)x10^(-3).