Photodissociation of nitric acid and hydrogen peroxide via high-lying O-H overtone absorptions in the visible may act as a source of OH radicals in the atmosphere. We have used cavity ring down spectroscopy to measure the absorption cross sections for the third (4 nu(OH)) and fourth (5 nu(OH)) overtone transitions in these molecules. The integrated cross sections are (2.25 +/- 0.15) x 10(-21) and (2.57 +/- 0.24) x 10(-22) cm(2) molecule(-1) cm(-1) for 4 nu(OH) and 5 nu(OH) in nitric acid, respectively, and (4.58 +/- 0.39) x 10(-21) and (5.67 +/-0.52) x 10(-22) cm(2) molecule(-1) cm(-1) for 4 nu(OH) and 5 nu(OH) in hydrogen peroxide. For both molecules, our report is the first direct intensity measurement for 5 nu(OH). the lowest dissociative overtone transition. We compare our values for the lower overtones to those from previous studies, where available. Our measured cross sections suggest that the contribution of direct overtone excitation to the atmospheric photodissociation of HNO3 and H2O2 is small but not completely negligible.