The nanoscopic confinement effect of hard neutral or attractive walls on the dynamics of polymer chains in the melt is studied by solid-state NMR. A variety of NMR techniques is applied to the characterization and the elucidation of chain dynamics in true model composites based on self-ordered nanoporous alumina with well-defined geometry. Pulsed field gradient (PFG) NMR was used to determine the self-diffusion coefficient of PB in AAO. The self-diffusion coefficient is slightly reduced by about 30 – 50 % in the smallest pores as compared to the bulk, indicating only small changes in the large-scale dynamics. Orientation-dependent multiple quantum NMR measurements reveal information about the anisotropy of the chain motion. For low molecular weights, the residual average orientation comprises a fast-diffusion average across the channel and reflects the macroscopic orientation of the nanochannels. For higher molecular weights, the long-time dynamics is significantly different from the bulk and rather anisotropic only in a layer of a few nanometers close to the weakly interacting wall.