The objective of this work is to formalize nominal ellipsis in Spanish – a grammatical mechanism in which one element is silenced with its syntactic structure, under certain syntactic restrictions – through the creation of an algorithm that automatically recognizes and replaces elided elements in natural language texts. Based on the proposal by Saab [1, 2], this paper proposes a series of formalisms represented in NooJ [3, 4] to grammatically model this phenomenon. The methodology was tested on journalistic texts extracted from the Internet. The results obtained (100% precision; 82% coverage; 90.10% F-measure) show that the developed algorithm is useful for the recognition of ellipses.