A composition for topical application to the skin comprises a cocoa polyphenol extract in combination with an SUS-rich fat, wherein the cocoa polyphenol extract is present in an amount of less than 15% by weight based on the weight of the SUS-rich fat, and a cosmetically acceptable carrier. The composition and the extract that it contains may increase skin elasticity and thickness and/or have an anti-wrinkle effect, may cause the depigmentation of age spots, improve skin renewal and/or reduce skin dryness such as reducing discomfort of chapped hands.