The intensive use of antiparasitic drugs is the main cause of the emergence of multiresistant parasite strains on those regions where these parasites are endemic. The aetiological agents of the so-called tropical diseases viz. malaria, cryptosporidiosis, sleeping sickness, Chagas disease or leishmaniasis, among others, are unicellular protozoan parasites with no immune-prophylactic treatment and where the chemotherapeutical treatment is still under controversy. At present, the chemotherapeutic approach to these diseases is expensive, has side or toxic effects and it does not provide economic profits to the Pharmaceuticals which then have no or scarce enthusiasm in R & D investments in this field. The identification of type I DNA-topoisomerases as promising drug targets is based on the excellent results obtained with camptothecin derivatives in anticancer therapy. The recent finding of significant structural differences between human type I DNA-topoisomerase and their counterparts in trypanosomatids has open a new field in drug discovery, the aim is to find structural insights to be targeted by new drugs. This review is an update of DNA-topoisomerases as potential chemotherapeutic targets against the most important protozoan agents of medical interest.