  In this paper, we establish the ergodicity for stochastic 2D Navier-Stokes
equations driven by a highly degenerate pure jump L\'evy noise. The noise could
appear in as few as four directions. This gives an affirmative anwser to a
longstanding problem. The case of Gaussian noise was treated in Hairer and
Mattingly [\emph{Ann. of Math.}, 164(3):993--1032, 2006]. To obtain the
uniqueness of invariant measure, we use Malliavin calculus and anticipating
stochastic calculus to establish the equi-continuity of the semigroup, the
so-called {\em e-property}, and prove some weak irreducibility of the solution
process.
