In present research, firefly algorithm and flower pollination algorithm, two novel bio-inspired metaheuristic algorithms, are used to select the optimal parametric combinations for underwater laser micro-channeling process to achieve desired objectives. Firefly algorithm is inspired by the social flashing behavior of fireflies, whereas, the flower pollination algorithm is inspired by the pollination behavior of flowers. Single objective and multi objective optimizations are carried out using these algorithms, in which the objective functions are developed using response surface method. The solution of the optimization problems show that the algorithms are capable to find the feasible optimal parametric combination with high degree of accuracy. Both the algorisms are compared for their accuracy, repeatability, convergence rate and computational time. These algorithms are also found to be capable of predicting accurate trends of the parametric effects.