Predissociation of a high-lying (1) Sigma(+) state of NaK is studied using the optical-optical double resonance technique. A single-mode ring dye laser is set to a particular 2(A)(1) Sigma(+)(nu’,J’)<--1(X)(1) Sigma(+)(nu",J") transition. Another single-mode laser (Ti-sapphire) is then used to excite the molecule from the 2(A)1 Sigma+(nu’,J’) level, to rovibrational levels of a higher predissociating electronic state, which we identify as 6(1) Sigma(+) The predissociation is monitored by the atomic potassium emission on the 3 D-2(3/2)-->4 P-2(1/2) transition at 1.17 mu m, while bound state radiative processes are monitored by total violet fluorescence from the upper state to the various rovibrational levels of the ground 1(X)(1) Sigma(+) state. By scanning the Ti-sapphire laser, different rovibrational levels of the 6(1) Sigma(+) state can be excited. The vibrational levels probed range from nu=13 to 20 with rotational states ranging from 9 to 99. The bound state energy level positions are measured from the center frequencies of lines recorded with the Ti-sapphire laser excitation scans. The 6(1) Sigma(+) state is then described by the following molecular constants which are calculated from the experimental values of the level energies : T-e=25 560.373 cm(-1), omega(e)=89.179 26 cm(-1), omega(e)x(e)=0.730 691 cm(-1), B-e=0.067 327 327 0 cm(-1), alpha(e)=0.000 675 35 cm(-1), D-e=-3.298 31x10(-8) cm(-1), beta(el)=1.518 17x10(-8) cm(-1). The potential well depth is D-e=4416.0 cm(-1), if we assume the cm most likely asymptotic limit of Na(3 S-2(1/2))+K(5 P-2(1/2)). The equilibrium separation is R-e=4.158 Angstrom. We also report measured and calculated intensities (Franck-Condon factors) for the 6 (1) Sigma(+)-->1(X)(1) Sigma(+) violet band. The absolute predissociation rates of 6 (1) Sigma(+) levels are directly measured from the Linewidths recorded on the Ti-sapphire laser excitation scans, We measure predissociation rates ranging up to 9.4x10(9) s(-1). : T-e=25 560.373 cm(-1), omega(e)=89.179 26 cm(-1), omega(e)x(e)=0.730 691 cm(-1), B-e=0.067 327 327 0 cm(-1), alpha(e)=0.000 675 35 cm(-1), D-e=-3.298 31x10(-8) cm(-1), beta(el)=1.518 17x10(-8) cm(-1). The potential well depth is D-e=4416.0 cm(-1), if we assume the cm most likely asymptotic limit of Na(3 S-2(1/2))+K(5 P-2(1/2)). The equilibrium separation is R-e=4.158 Angstrom. We also report measured and calculated intensities (Franck-Condon factors) for the 6 (1) Sigma(+)-->1(X)(1) Sigma(+) violet band. The absolute predissociation rates of 6 (1) Sigma(+) levels are directly measured from the Linewidths recorded on the Ti-sapphire laser excitation scans, We measure predissociation rates ranging up to 9.4x10(9) s(-1).