  Bondarko's (strong) weight complex functor is a triangulated functor from
Voevodsky's triangulated category of motives to the homotopy category of chain
complexes of classical Chow motives. Its construction is valid for any dg
enhanced triangulated category equipped with a weight structure. In this paper
we consider weight complex functors in the setting of stable symmetric monoidal
$\infty$-categories. We prove that the weight complex functor is symmetric
monoidal under a natural compatibility assumption. To prove this result, we
develop additive and stable symmetric monoidal variants of the
$\infty$-categorical Yoneda embedding, which may be of independent interest.
