Object and space are, first of all, elements or appearances that defined the structural character of the sculpture during all the 20th century. The matter pretends to show and analyse those debates where the thematic structure object and space have importance inside the panorama of the contemporary art. It dictates structure is organised in four territories of problems: in the first place, we speak of the concepts of authorship that have to see with the creation, production and reproduction of objects and spaces; a second group would have to see with the creative processes determinants for the preparation of the object; a third field would have to see with the mechanisms *procesuales and **categorial; and, finally, it would be the expansionary fabric that the sculpture developed like a need where the space was an indisputable ally from his billed like space of thought until his dissolution between a *tupida network of new forms of cultural leisure.