1. A fabric coated with functional silicone rubber, the fabric comprising:a woven fabric made by weaving and comprising uniform pores therein; and
a coating layer formed by coating a surface of the woven fabric with liquid silicone rubber in which electrically conductive particles larger than the pores of the woven fabric are dispersed and mixed,
wherein the liquid silicone rubber permeates into the pores of the woven fabric by the weight thereof and is cured such that the silicone rubber is anchored and coupled to the woven fabric, and
an electrically conductive layer having electrical conductivity is formed as the electrically conductive particles are caught on the pores of the woven fabric at an interface with the woven fabric and increase in density at the interface.