The present work aims at the synthesis of CoMoO4 hybrid nanorods by hydrothermal method. The optical and structural properties of the synthesized nanorods have been characterized by X-ray diffraction (XRD), Fourier transform infrared spectroscopy (FTIR) and Scanning electron microscopy (SEM). Nonlinear optical studies of the samples were measured by single-beam open aperture Z-scan technique using 5 ns laser pulses at 532 nm. The measured optical nonlinearity of the nanorods shows a typical third order nonlinear optical behaviour including two-photon absorption (2 PA) and reverse saturable absorption (RSA). Experimental findings show that the presence of RSA in these nanoparticles makes them a promising candidate for the fabrication of optical limiting devices.