A ski comprises an elongated body having opposed lateral surfaces and opposed upper and lower walls, a longitudinal core having upper and lower walls extending along the length of the body between front and rear ends of the ski, mechanical resistance elements, internal longitudinal shock absorption elements made of a viscoelastic material, and filling elements connecting the resistance elements to the other elements. At least one of the internal shock absorption elements is a strip of viscoelastic material which is substantially continuous over the entire length of the body of the ski. The width of the strip is limited by the lateral surfaces of the ski, and the thickness of the strip is limited by a wall of the core and a wall of the body. The strip has a thickness along the length of the body which is a nonconstant function of the length of the body conferring on the ski mechanical shock absorption properties which vary along the length of the ski.