We deal with the least squares estimator for the drift parameters of an stein-Uhlenbeck process with periodic mean function driven by fractional Lévy process.For this estimator,we obtain consistency and the asymptotic distribution.Compared with fractional stein-Uhlenbeck and stein-Uhlenbeck driven by Lévy process,they can be regarded both as a Lévy generalization of fractional Brownian motion and a fractional generalization of Lévy process.