  This paper computes the Dirac cohomology $H_D(\pi)$ of irreducible unitary
Harish-Chandra modules $\pi$ of complex classical groups viewed as real
reductive groups. More precisely, unitary representations with nonzero Dirac
cohomology are shown to be unitarily induced from unipotent representations.
When nonzero, there is a unique, multiplicity free $K-$type in $\pi$
contributing to $H_D(\pi)$. This confirms conjectures formulated by the first
named author and Pandzic in 2011.
