The nuclear quadrupole resonance of 139La and 63/65Cu in La2-x CMxCuO4 (M = Ba, Sr) is investigated for x up to unity. The shift of the resonance frequency of 139La-NQR for 0.01 < x c, where the frustrated magnetic phase appears. The Cu-NQR reveals clear changes of T1-1 and T2-1 and also of the profile of the Cu-NQR spectra with increasing x beyond x = 0.3~0.4, suggesting a suppression of antiferromagnetic fluctuations by hole-doping, and also a change of the electronic state of the La-system around x = 0.3 ~0.4.