  Over a subfield of the field of complex numbers, the Hodge realization of a
geometrical motive is defined and represented as the cohomology of a mixed
Hodge DG-complex in the sense of Deligne. Both filtrations are represented by
truncation functors, on a Bondarko weight complex for the weight filtration and
on the De Rham motivic complex for the Hodge one. The Deligne-Beilinson
realization is also constructed. This preprint partially replaces the former
"R\'ealisation des complexes motiviques de Voevodsky".
