  In this paper we propose a reduction scheme for multivector fields phrased in
terms of $L_\infty$-morphisms. Using well-know geometric properties of the
reduced manifolds we perform a Taylor expansion of multivector fields, which
allows us to built up a suitable deformation retract of DGLA's. We first
obtained an explicit formula for the $L_\infty$-Projection and -Inclusion of
generic DGLA retracts. We then applied this formula to the deformation retract
that we constructed in the case of multivector fields on reduced manifolds.
This allows us to obtain the desired reduction $L_\infty$-morphism. Finally, we
perfom a comparison with other reduction procedures.
