The process of the invention comprises the implementation of axenic
conditions, with use of a liquid single-phase culture medium. For
obtaining the 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, and
in particular 400 to 550 milliosmoles/kg of liquid. For obtaining
promastigote forms, this medium is buffered at a pH of 7 to 7.5 and has
an osmolarity of at least 300 milliosmoles/kg of liquid. This process
allows the adaptation and culture in vitro of different stages of
tissular parasites, such as leishmanias and T. cruzi or also
hematoprotozoa.