ABSTRACT.The object of the present paper is to characterize \( \epsilon \text{-} LP \text{-} \)Sasakian manifolds with a quarter-symmetric metric connection admitting \( \eta \)-Ricci solitons. Finally, the existence of \( \eta \)-Ricci soliton in an \( \epsilon \text{-} LP \text{-} \)Sasakian manifold has been proved by a concrete example.