  We study the qKZ difference equations with values in the $n$-th tensor power
of the vector $sl_2$ representation $V$, variables $z_1,\dots,z_n$ and integer
step $\kappa$. For any integer $N$ relatively prime to the step $\kappa$, we
construct a family of polynomials $f_r(z)$ in variables $z_1,\dots,z_n$ with
values in $V^{\otimes n}$ such that the coordinates of these polynomials with
respect to the standard basis of $V^{\otimes n}$ are polynomials with integer
coefficients. We show that the polynomials $f_r(z)$ satisfy the qKZ equations
modulo $N$.
  Polynomials $f_r(z)$ are modulo $N$ analogs of the hypergeometric solutions
of the \qKZ/ equations given in the form of multidimensional Barnes integrals.
