  We define a twistor-like transform of the equations of eleven-dimensional
supergravity. More precisely these equations are encoded by the CR-structure on
the twistor space P^{2*15+11|8*2+16}. In addition equations of the linearized
eleven-dimensional supergravity adapted to the 3-form potential can be
transformed into the tangential Cauchy-Riemann equation d omega=0 on P.
