We report on the lifetime measurement of the 6 1 Σ + g (7, 31) state of Na 2 molecules, produced in a heat-pipe oven, using a time-resolved spectroscopic technique. The 6 1 Σ + g (7, 31) level was populated by two-step two-color double resonance excitation via the intermediate A 1 Σ + u (8, 30) state. The excitation scheme was done using two synchronized pulsed dye lasers pumped by a Nd:YAG laser operating at the second harmonics. The fluorescence emitted upon decay to the final state was measured using a time-correlated photon counting technique, as a function of argon pressure. From this the radiative lifetime was extracted by extrapolating the plot to collisionfree zero pressure. We also report calculated radiative lifetimes of the Na 2 6 1 Σ + g ro-vibrational levels in the range of v = 0 − 200 with J = 1 and J = 31 using the LEVEL program for bound-bound and the BCONT program for bound-free transitions. Our calculations reveal the importance of the bound-free transitions on the lifetime calculations and a large difference of about a factor of three between the J = 1 and J = 31 for the v = 40 and v = 100, due to the wavefunction alternating between having predominantly inner and outer well amplitude.