Abstarct: Flotation is one of the most important common processes for separating valuable minerals from gangue. Particle size plays an important role in this process. Today, the problem that this process encounters with is existence of coarse particles and fine particles, which makes the whole process inefficient. So far, a lot of research has been done on coarse particles and fine particles with the presence of ordinary bubbles. Problems with fine particles include: their flotation kinetics is slower and their collision efficiency is lower. In this thesis, the effect of stable nanobubbles that can maintain their stability for a long time, and recovery of fine and coarse particles are investigated. Stable nanobubbles can increase particle hydropHobicity, which increases the possibility of bubble-particle bonding and decreases the probability of separation. In this thesis, the focus is on increasing recovery and reducing chemical consumption. After preparing the samples from the fine stockroom of the concentrate plant 1 of Sarcheshmeh copper complex and performing the comminution steps, the representative sample that was prepared was sent for chemical analysis (XRF, XRD) and mineralogy. By designing 50 experiments with DX13 software, the effects of amount of collector consumption, frother, pH, particle size and solid percentage were investigated, 25 experiments were performed with normal flotation and 25 experiments were performed under the influence of nanobubbles. After performing the analyzes and comparing their interaction with each other, the results demonstrated that the recovery and grade of copper in the presence of nanobubbles increased by about 5.74 and 35%, respectively. Also, a 50% reduction in the collector consumption and a 66% reduction in the frother consumption were observed in the presence of nanobubbles.