In this paper, we report systematic magnetic measurements on deuterated organic superconductor (κ- D 8- Br )κ-( BEDT - TTF )2 Cu [ N ( CN )2] Br . The irreversibility line H irr (T) and the critical current density Jc were studied. Our results show the strong dependence of H irr (T) and Jc on the cooling rate. The structural transformation which occurs at the vicinity of 80 K very strongly influences the physics of vortex lattice and the associated magnetic behavior. The irreversible magnetization becomes null at H irr and vortices are not pinned; therefore they can displace more freely for an increase of the field or the temperature.