The arterial hypertension is considered to be the main risk factor for myocardial infarction, heart failure, ventricular arrhythmias, kidney failure, blindness and other diseases. Arterial hypertension is a multifactorial disease derived from environmental, genetic, gender and ethnic factors. In recent years, the World Health Organization estimated that approximately 17.5 million of deaths were due to cardiovascular diseases worldwide and that this pathology will become the leading cause of death in the next decade. Data from the National Survey of Mexican Ministry of Health (2006), reported approximately 17 million hypertensive adults, equivalent to a prevalence of 30.8% among Mexican population. As a consequence, hypertension represents the leading cause of morbidity from 2000 to 2005 and is increasing in recent years. However, studies have failed to clearly identify the molecular and genetic mechanisms of this pathology so far. Nevertheless, using the new technologies for analysis of variants in the genome, several genes in different loci that confer susceptibility to develop hypertension have been identified. In this review we compared the different studies in genetics and genomics of the hypertension that have been made worldwide and in Mexico, with the aim of identifying important genes involved in susceptibility to the development of this pathology.