Twenty-nine specimes (32.2%) of elasmobranch fishes, out of 90 captured in the south coast of Brazil in the States of Paraná and Santa Catarina, represented by six families, seven genera and nine species, were parasitized with cestodes of the order Trypanorhyncha: Heptranchias perlo and Squalus sp. parasitized with Progrillotia dollfusi; Isurus oxyrinchus with Nybelinia lingualis and Gymnorhynchus isuri; Prionace glauca with Tentacularia coryphaenae, Hepatoxylon trichiuri, Molicola horridus, Floriceps saccatus and Callitetrarhynchus gracilis; Carcharhinus signatus with Heteronybelinia yamagutii, H. nipponica and P. dollfusi; C. longimanus and C. obscurus with T. coryphaenae; Sphyrna zygaena with Heteronybelinia rougetcampanae and Callitetrarhynchus speciosus; Dipturus trachydermus with Mixonybelinia beveridgei. Prevalences and intensities of infection are presented as well as the analysis of the hosts sex-related parasitism, in single or concomitant infections. Data are discussed and compared with previous available reports on these hosts, mainly those referring to the species I. oxyrinchus, P. glauca and C. longimanus