A waveguide of coupled optical modulator was fabricated on LiNbO$_3$ based on proton exchange with self-aligned thin film electrode method. The electrode pattern was designed using a self-aligned method. After proton exchange process, the waveguide was prepared by annealing process. The initial crossover state of the fabricated 2$ imes$2 coupled optical modulator was observed with controlling the annealing process variables and the structure of self-aligned thin film electrodes. It was shown form the present work that the measured crosstalk is -29.5[dB] and 8.0[V] of detected modulating voltage