Concerning to the Amazon Region, everything about it arises the greatest interest when one deals with its natural resources. For this reason, the authors, introducing this work, present its first part, which consists of some cestodes recovered from Vertebrates in 1969. So, three species, are redescribed and two only refered. Raillietina (R.) alouattae Baylis, 1947 is marked for the first time in Brazil. The authors ratify the original descriptions of Paronia variabilis (Fuhrmann, 1904) Fuhrmann, 1921 and Anomotaenia brasiliensis Fuhrmann, 1908, presenting original camera lucida drawings in order to accomplish their knowledge. Of Anomotaenia brasiliensis they also rectify the year of its proposition from 1907 to 1908, when the work was printed. Oochoristica fuhrmanni Hugues, 1940 and Mathevotaenia bivittata Janicki, 1904) are only listed for they are well known by now, to justify a revision.