Direct numerical simulations of evaporating droplets in homogeneous isotropic turbulence have been conducted to clarify the relationship between droplets dispersion and coherent fine scale eddies in turbulence. The motion of 10^6 droplets were analyzed for a several droplets Stokes number. The Stokes number that causes preferential distribution of droplets in turbulence is closely related to the coherent fine scale eddies. It is shown that the change of droplets diameter by evaporation influences droplets dispersion. The number density of droplets with particular Stokes number is low near the center of coherent fine scale eddies, and increase with distance from the center and reaches the maxima near 1.5 times of radius of coherent fine scale eddies.