Resumen: El objetivo de este trabajo es la estimación del azimut del esfuerzo mínimo horizontal (AEMH) en la zona norte del campo Cupiagua, localizado en el piedemonte llanero, usando como herramienta fundamental la geoestadística. La metodología para el tratamiento de los datos consistió en la conversión de los valores azimutales (variables circulares) a datos numéricos mediante los cósenos directores con el fin de evitar incompatibilidades en la medida del error. El análisis geoestadístico mostró que la variabilidad espacial de los datos son concurrentes con un efecto pepita de 0.0017 más un modelo exponencial con meseta igual a 0.0087 y rango de influencia de 7874 pies. La dirección del AEMH, estimada por el método de Kriging ordinario de bloque, indicó que los valores AEMH varían entre 11º-65º, con un valor promedio de 34º, mientras que el error de estimación varía entre 2° y 7°. Los resultados obtenidos permitieron diferenciar dos campos de orientación de esfuerzos mínimos horizontales diferentes: uno al norte, donde el AEMH tiende a valores inferiores a 40º y representan el 75% de los datos estimados; mientras que el 25% de los datos restantes, superan los valores obtenidos en el norte, debido probablemente a una mayor complejidad estructural de la zona. / Abstract: The objective of this work is the estimation of azimuth of the horizontal minimum stress (AHMS) in the North zone of the Cupiagua field, located in the Piedemonte Llanero, using like fundamental tool the geostatistics. The methodology for the data’s treatment consisted of the conversion of the azimuthal values (circular variable) to numeric data by means of the cosine function with the purpose to avoid incompatibilities in the error’s measurement. The geostatístics analysis showed that the space variability of the data is concurrent with an effect nugget of 0, 0017 plus an exponential model with equal sill to 0, 0087 and an influence range of 7874 feet. The direction of the AHMS, considered by the ordinary method of kriging of block, indicated that values AHMS vary between 11º- 65º, with a value average of 34º, where as the estimation error varies between 2° and 7°. The obtained results allowed differentiating two fields from direction of different horizontal minimum stress: one to the north, where the AHMS tends to values inferior to 40º and they represent 75% of the calculated data; where as 25% of the remaining data surpass the values obtained in the north, probably had to a greater structural complexity of the zoneAbstract: The objective of this work is the estimation of azimuth of the horizontal minimum stress (AHMS) in the North zone of the Cupiagua field, located in the Piedemonte Llanero, using like fundamental tool the geostatistics. The methodology for the data’s treatment consisted of the conversion of the azimuthal values (circular variable) to numeric data by means of the cosine function with the purpose to avoid incompatibilities in the error’s measurement. The geostatistics analysis showed that the space variability of the data is concurrent with an effect nugget of 0, 0017 plus an exponential model with equal sill to 0, 0087 and an influence range of 7874 feet. The direction of the AHMS, considered by the ordinary method of kriging of block, indicated that values AHMS vary between 11º65º , with a value average of 34º, where as the estimation error varies between 2° and 7°. The obtained results allowed differentiating two fields from direction of different horizontal minimum stress: one to the north, where the AHMS tends to values inferior to 40º and they represent 75% of the calculated data; where as 25% of the remaining data surpass the values obtained in the north, probably had to a greater structural complexity of the zone.