Abstarct: Flotation is the most effective method for separating fine particles (less than 500 micrometers) of coal from the gunge. When the size of the coal particles is very fine (below 50 μm) or coarse (above 500 μm), the flotation efficiency is greatly reduced. Efforts to increase the recovery of these particles by increasing the concentration of oil collectors often lead to significant production of non-combustible materials that are floating along with coal. Therefore, the recovery of coal-flotation particles in very fine sizes, is low. In this study, the focus was on improving the efficiency of coal flotation, and after preparing a sample of coal and crushing it, the samples were divided into three dimensional fractions. Initial studies showed that each fraction had a different three percentage of ash feed. Flotation tests were designed to test different parameters for achieving higher recovery in two floatation and flotation kinetics fractions. According to recent studies on the presence of micro-nano bubbles and ultrasonic waves in various sciences and the observation of the significant results of these leading technologies, the effects of these two factors were studied separately and simultaneously in coal flotation. The results of these experiments on coal samples indicated that in the presence of micro-nano bubbles, recovery in all sizes with different feed ash content was improved. Also, ultrasonic wave tests showed positive effects on the recovery of coal flotation in the presence of these waves. The results of the experiments related to the application of these two factors suggest better micro-nano bubbles performance in the presence of ultrasonic waves. In the kinetic section, the constant flotation rate in the presence of micro-nano bubbles was improved.