The banana is a plant that requires a big demand of water and nutrients to achieve high yields. To achieve this high yields an experiment was realized at the Fazenda Água Limpa-UnB in the years 2013/2014, to evaluate the response of the banana's tree to the proposed treatments. The objective of this work was evaluate quantitative and qualitative aspects of the initial productivity of banana 'Grand Naine' e 'BRS Tropical' under different doses of fertilization and under different volumes of supplemental irrigation in Distrito Federal. The tests were arranged in four randomized blocks, which were consisted in a 5x5 factorial design, in split plot. Five volumes of supplementary irrigation formed the plots and the subplots were formed by five fertilization doses. The experimental units were composed of four pits with 3x3 meters of spacing, totaling 400 pits for experiment. The productivity; the number of bunches, hands and finger productivity per bunches; the number of finger per hand; the median fruit weight; the median length and diameter of the banana; the relation between diameter and length and the median consistency pulp were evaluated. The collected data were submitted to a variance analysis and to a regression analysis, following the complete polynomial equation. In the first test, was used the banana 'Grand Naine' under a treatment of five different volumes of supplemental irrigation, 1090-2177-4300-6540-8720 liters.pit-1 and five levels of nitrogen fertilization, 40-165-290-415-540 Kg.ha-1. There was a significant interaction between the volumes of the supplemental irrigation and the nitrogen fertilization only for the median fruit consistency. In an independent way, the volume of supplemental irrigation affected significantly the medium fruit weight and the productivity, wherein the low productivity observed was of 9.611,85 Kg.ha-1 with an application of irrigation volume equal to 1090 litros.cova-1. In the other side the highest productivity observed was of 27.865 Kg.ha-1 , with an irrigation volume used equal to 6540 litros.pit-1 .The variable "number of bunches" was influenced for the use of nitrogen fertilizer as for the use of supplemental irrigation. The supplemental irrigation increased the production and quality of the banana Grand Naine'. In the second test, the hybrid banana 'BRS Tropical' was used with the supplementary irrigation volumes of 1090-2177-4300-6540-8720 liters.pit-1 , and five levels of potassium fertilization, 0-167-344-500-667 Kg.ha-1. There was a significant interaction between the volumes of supplemental irrigation and the potassium fertilization doses for the number of banana for brunch and median fruit weight. The number of hands for brunches, the number of banana per hand and the productivity were influenced both by potassium fertilization as the volumes of supplemental irrigation. The minimum productivity observed for the banana 'BRS Tropical' was equal to 1.195,4 Kg.ha-1 obtained without the potassium fertilization and the supplemental irrigation volume equal to 1090 litros...