  Using the Hecke $\hat R$-matrix, we give a definition of the lattice
$(l,q)$-deformed $n$-component boson and Grassmann fields. Here $l$ is a
deformation parameter for the commutation relations of "values" of these fields
in two arbitrary lattice sites and $q$ is a deformation parameter for
$n$-component $q$-boson or $q$-Grassmann variable. In framework of the
Wess-Zumino approach to the noncommutative differential calculus the
commutation relations between differentials and derivatives of these fields are
determined. The $SL_q(n,C)$-invariant generalization of the Berezin integration
for the lattice $n$-component $(l,q)$-Grassmann field is suggested. We show
that the Gaussian functional integral for this field is expressed through the
$(l,q)$-deformed counterpart of the Pfaffian.
