  We describe D=4 twistorial membrane in terms of two twistorial
three-dimensional world volume fields. We start with the D-dimensional p-brane
generalizations of two phase space string formulations: the one with $p+1$
vectorial fourmomenta, and the second with tensorial momenta of $(p+1)$-th
rank. Further we consider tensionful membrane case in D=4. By using the
membrane generalization of Cartan-Penrose formula we express the fourmomenta by
spinorial fields and obtain the intermediate spinor-space-time formulation.
Further by expressing the worldvolume dreibein and the membrane space-time
coordinate fields in terms of two twistor fields one obtains the purely
twistorial formulation. It appears that the action is generated by a geometric
three-form on two-twistor space. Finally we comment on higher-dimensional (D>4)
twistorial p-brane models and their superextensions.
