We consider a stochastic differential equation with additive fractional noise of Hurst parameter H > 1/2, and a non-linear drift depending on an unknown parameter. We show the Local Asymptotic Normality property (LAN) of this parametric model with rate √ τ as τ → ∞, when the solution is observed continuously on the time interval [0, τ ]. The proof uses ergodic properties of the equation and a Poincaré type inequality.