An addition-curable silicone emulsion that exhibits stable curability even with a small amount of platinum. The curable emulsion composition is composed of an emulsion A and an emulsion B described below which are mixed together at the time of use, wherein the ratio of [number-average particle size of dispersed particles in emulsion A]/[number-average particle size of dispersed particles in emulsion B] is within a range from 0.4 to 2.0. The emulsion A comprises a specific alkenyl group-containing organopolysiloxane, a specific organohydrogenpolysiloxane, a nonionic surfactant, a polyvinyl alcohol and water, wherein the number-average particle size of the dispersed particles is within a range from 300 to 1,000 nm. The emulsion B comprises a specific alkenyl group-containing organopolysiloxane, a platinum-based complex, a nonionic surfactant, a polyvinyl alcohol and water, wherein the number-average particle size of the dispersed particles is within a range from 300 to 1,000 nm.