In the surface grinding of Ti-6Al-4V (Ti64) alloy with CBN wheel, it is nescessary to evaluate the effect of cutting condition on machining performance to establish a set of cutting parameters to achieve the desired surface quality and machining capacity. In this study, an optimum problem is solved with using Particle Swarm Optimization (PSO) algorithm, including objective function of machining capacity and three boundary functions including two functions of cutting parameter limitation (workpiece speed, depth of cut) and one function of surface roughness limitation. The multi-optimization with PSO shows that the achieved optimum cutting parameter set is at F - 10000 mm/min, t = 0,0063 mm. The average deviation of surface roughness Ra and capacity Q between experimental and prediction results 5,39%) and 6,82%), respectively. Therefore, the predicted outcomes with PSO are relatively adequate to experimental ones, which could be used for determination of cutting condition for given surface roughness Ra and capacity Q.