We have investigated the excitation spectra of j eff = 1 2 Mott insulator Na 2 IrO 3 . Taking into account a relativistic multiplet structure of Ir ions, we have calculated the optical conductivity σ (ω) and resonant inelastic x-ray scattering (RIXS) spectra, which manifest different features from those of a canonical j eff = 1 2 system Sr 2 IrO 4 . Distinctly from the two-peak structure in Sr 2 IrO 4 , σ (ω) in Na 2 IrO 3 has a broad single peak dominated by interband transitions from j eff = 3 2 to 1 2 . RIXS spectra exhibit the spin-orbit (SO) exciton that has a two-peak structure arising from the crystal-field effect, and the magnon peak at energies much lower than in Sr 2 IrO 4 . In addition, a small peak near the optical-absorption edge is found in RIXS spectra, originating from the coupling between the electron-hole (e-h) excitation and the SO exciton. Our findings corroborate the validity of the relativistic electronic structure and importance of both itinerant and local features in Na 2 IrO 3 .