This article explains the mathematical and market approaches that were considered for the creation of the model of estimation of the term structure of interest rates. Additionally a methodology is presented by which the model object of study is applied, making use of 7 Colombian public debt securities, finally the conclusions are presented, in which it is emphasized mainly in the scope of the model at issue. © 2018.En este articulo se explican los planteamientos de orden matematico y de mercado que fueron considerados para la creacion del modelo de estimacion de la estructura temporal de tasas de interes planteado por Nelson y Siegel. Adicionalmente, es presentada una metodologia mediante la cual es aplicado el modelo objeto de estudio, haciendo uso de 7 titulos de deuda publica colombiana, finalmente se presentan las conclusiones, en las cuales se enfatiza principalmente en el alcance del modelo en cuestion. © 2018.