  In this paper, we prove that a Sasakian pseudo-metric manifold which admits
an $\eta-$Ricci soliton is an $\eta-$Einstein manifold, and if the potential
vector field of the $\eta-$Ricci soliton is not a Killing vector field then the
manifold is $\mathcal{D}-$homothetically fixed, and the vector field leaves the
structure tensor field invariant. Next, we prove that a $K-$contact
pseudo-metric manifold with a gradient $\eta-$Ricci soliton metric is
$\eta-$Einstein. Moreover, we study contact pseudo-metric manifolds admitting
an $\eta-$Ricci soliton with a potential vector field point-wise colinear with
the Reeb vector field. Finally, we study gradient $\eta-$Ricci solitons on
$(\kappa, \mu)$-contact pseudo-metric manifolds.
