Stellar evolutionary models with mass loss and moderate overshooting at metallicity Z = 0.004 in the 0.80 to 120 M{sun} range are presented. They complete the set of grids computed with the same up-input physics for Z=0.020 and 0.001 by Schaller et al. (1992, Cat. J/A+AS/96/269), for Z=0.008 by Schaerer et al. (1992A&A...263..129S, Cat. J/A+AS/98/523) and for Z=0.040 by Schaerer et al. (1993, Cat. J/A+AS/102/339).