In consideration of various practical constraints, the finish turning operations cutting model, based on the minimum cutting energy and the minimum surface roughness, was proposed. The non-dominated sorting genetic algorithm-II (NSGA-II) and the multi-objective particle swarm optimization (MOPSO) were applied in examples to optimize finish turning cutting model. The results indicate that the Pareto-optimal solutions set of cutting energy and surface roughness by using NSGA II algorithm and the MOPSO algorithm can all be fitted by the same 6 th polynomials of degree equation of curves, and the fitting relevant index is equal to 0.999 5 and 0.998 2. Under the Pareto-optimal solutions set for the surface roughness and the cutting energy, feed rates and cutting speed can be also obtained for the cutting model, which provides practical references for optimal selection of finish machining parameters.