<p>A step-by-step analysis of the coalescence of normal liquid droplets in a non-Newtonian viscoplastic oil emulsion has been performed. This analysis made it possible to reveal the mechanism and essence of the indicated phenomenon and to construct an algorithm and formulas for calculating the maximum stable size of liquid droplets, their specific energy dissipation, the frequency of collisions of droplets, and the thinning of the interphase film of the non-Newtonian liquid between two droplets. It is shown that, in the case of collision of a non-Newtonian liquid droplet with a normal liquid droplet, the non-Newtonian liquid layers on the normal liquid droplet with formation of an adsorption layer on its surface. Analytical solution of the diffusion equation made it possible to obtain expressions for calculating the frequency of collisions of droplets in the non-Newtonian liquid as a function of its parameters and, as a result of the solution of the equations of hydrodynamics, the expression for calculating the thickness of the interphase non- Newtonian liquid film between two droplets has been obtained.</p>