Combination of a therapeutically effective amount of an anticonvulsant sulfamate derivative with a therapeutically effective amount of a sympathomimetic agent for use in a method of reducing blood pressure of a patient suffering from hypertension associated with obesity and / or syndrome X, wherein the anticonvulsant sulfamate derivative has a structure of formula (I) ** Formula ** in which X is CH2 or O, R1 is hydrogen or alkyl R2, R3, R4 and R5 are independently H or C1-C3 alkyl , and also in which when X is O, then R2 and R3, and / or R4 and R5, can be taken together to form a methylene dioxyl bond of formula -O-CR6R7-O- in which R6 and R7 are independently H or C1-C3 alkyl, or they can be taken together to form a cyclopentyl or cyclohexyl ring, and the sympathomimetic agent is selected from phenylethylamine, epinephrine, norepinephrine, epinine, dopamine, dobutamine, nordephrine, ethylnorepinephrine, isoproterenol, protoquilol, iso etarina, metaproterenol, terbutaline, metaraminol, phenylephrine, tyramine, hydroxyamphetamine, methoxyphenamine, methoxamine, albuterol, amphetamine, methamphetamine, benzphetamine, ephedrine, phenylpropanolamine, mephentermine, phentermine, chlorphentermine, fenfluramine, propylhexedrine, phenmetrazine and phendimetrazine.Combinación de una cantidad terapéuticamente eficaz de un derivado de sulfamato anticonvulsivo con una cantidad terapéuticamente eficaz de un agente simpaticomimético para su uso en un método de reducción de la tensión arterial de un paciente que padece hipertensión asociada con la obesidad y/o el síndrome X, en la que el derivado de sulfamato anticonvulsivo tiene una estructura de fórmula (I)**Fórmula** en la que X es CH2 u O, R1 es hidrógeno o alquilo R2, R3, R4 y R5 son independientemente H o alquilo C1-C3, y además en la que cuando X es O, entonces R2 y R3, y/o R4 y R5, pueden tomarse juntos para formar una unión metilen-dioxilo de fórmula -O-CR6R7-O- en la que R6 y R7 son independientemente H o alquilo C1-C3,