Motivated by the recent observation of ferromagnetic spin correlations in the filled skutterudite SrFe4As12 [Ding et al. Phys. Rev. B 98, 155149 (2018)], we have carried out 75 As nuclear magnetic resonance (NMR) and nuclear quadrupole resonance (NQR) measurements to investigate the role of magnetic fluctuations in a newly discovered isostructural superconductor SrOs4As12 with a superconducting transition temperature of Tc ∼ 4.8 K. Knight shift K determined by the NQR spectrum under a small magnetic field (≤ 0.5 T) is nearly independent of temperature, consistent with the temperature dependence of the magnetic susceptibility. The nuclear spin-lattice relaxation rate divided by temperature, 1/T1T , is nearly independent of temperature above ∼ 50 K and increases slightly with decreasing temperature below the temperature. The temperature dependence is reasonably explained by a simple model where a flat band structure with a small ledge near the Fermi energy is assumed. By comparing the present NMR data with those in SrFe4As12, we found that the values of |K| and 1/T1T in SrOs4As12 are smaller than those in SrFe4As12, indicating no obvious ferromagnetic spin correlations in SrOs4As12. From the temperature dependence of 1/T1 in the superconducting state, an s-wave superconductivity is realized.PACS numbers: