  The Generalized Werner-Like states (GWLs) are a class of non--X states in
which the exchange operator is replaced for a generic one-rank projector in the
Werner states. We obtained an exact analytical expression of Quantum Discord
for these states. The optimization problem involved is solved by giving an
analytical expression, in exact form for the conditional entropy. We compared
the Quantum Discord (QD) with the Entanglement of Formation (EoF) for the same
states. The pure states of GWLs with equal concurrence have the same QD and
EoF.
