The angular and velocity distributions of desorbing N-2, N2O, and NO molecules were studied in the decomposition of NO and also N2O on a palladium (110) surface by means of angle-resolved thermal desorption combined with cross-correlation time-of-flight techniques. The results were quite similar in both cases although the desorption of N-2, N2O, and NO concurrently peaked at 490 K in the NO decomposition and, in the N2O decomposition, the desorption of N-2 and N2O peaked at 140 K. The desorption of N2O and NO showed a cosine angular distribution and a Maxwellian velocity distribution at the surface temperature. On the other hand, the N-2 desorption collimated sharply at +/-41 degrees-43 degrees off the surface normal in a plane along the [001] direction. Then the velocity distributions of N-2 involved two hyperthermal components with the mean translational energy of 0.47 and 0.22 eV, respectively. A mechanism for the inclined N-2 desorption was proposed to be due to a highly exothermic reaction of N2O(ad) --> N-2(g) + O(ad) and the strong repulsive force operative on the product N-2 from the surface.