NMR experiments on two kinds of Ce-based superconductors with noncentrosymmetry in the crystal structures were performed. They are CePt3Si and CeIr0.65Co0.35Si3 with 0.75 and 0.55 K of Tc’s, respectively. By annealing of the crushed sample, CePt3Si recovers two distinct phases, which are coexistent in the crystal, and one of two phases gets the improved characters of single crystal. The angular dependence of an aligned axis and an applied magnetic field exhibits that the internal field must be parallel to the c-axis at Si site below TN, which appears to be inconsistent with the results obtained by the neutron diffraction. On the other hand, a CeIr0.65Co0.35Si3 sample with noncentrosymmetry also shows a clear Meissner diamagnetization at 0.55 K under an ambient pressure and yields a clear Co NMR spectrum with an electric quadrupole splitting.