  The objective of the present paper is to study the $\eta$-Ricci solitons on
Kenmotsu manifold with generalized symmetric metric connection of type
$(\alpha,\beta)$. There are discussed Ricci and $\eta$-Ricci solitons with
generalized symmetric metric connection of type $(\alpha,\beta)$ satisfying the
conditions $\bar{R}.\bar{S}=0$, $\bar{S}.\bar{R}=0$, $\bar{W_{2}}.\bar{S}=0$
and $\bar{S}.\bar{W_{2}}=0.$. Finally, we construct an example of Kenmotsu
manifold with generalized symmetric metric connection of type $(\alpha,\beta)$
admitting $\eta$-Ricci solitons.
