The present invention provides a method for carrying out in vitro the complete developmental sequence culture of tissular parasites, which includes culturing the parasites in a totally defined culture medium which is an axenic . . . monophasic liquid culture medium, free of serum and free of serum-derived or cell-derived macromolecules, proteins and peptides. For obtaining amastigote forms, this medium is buffered at a pH of 5.5 to 6.5 and has an osmolarity of at least 400 milliosmoles/kg of liquid. For obtaining promastigote forms, the medium is buffered at a pH of 7 to 7.5 and has an osmolarity of at least 300 milliosmoles/kg liquid. Application to the in vitro culture of different stages of tissular parasites such as Leishmania, T. cruzi, and hamatoprotozoa is also provided.