1. A nano-scale resolution fluorescence microscopy system, comprising: a speckle pattern generator to generate speckle patterns by passing, through a diffuser, a light emitted from at least one coherent light source in at least one color to detect fluorescent emission in at least one color from fluorophores attached to a specimen; an illumination optical system to radiate the generated speckle patterns to be exposed on a specimen, by disposing at least one optical lens; and a fluorescent image optical system to detect fluorescence emission images of the specimen excited by the speckle patterns in at least one color, by passing the radiated speckle patterns sequentially through at least one excitation filter and detecting the emission images through at least one emission filter.