We develop the N=8 superfield description of the Bagger–Lambert–Gustavsson (BLG) model in its Nambu bracket (NB) realization. The basic ingredient is the octet of scalar d = 3 N = 8 superfields φ depending also on the coordinates of a compact three dimensional space M3. It is restricted by the superembedding-like equation, DȦφ I = 2iψBγ I BȦ , which can be treated as covariantization of the lin...