  We revise the twistor--like superfield approach to describing
super--p--branes by use of the basic principles of the group--manifold approach
\cite{rheo}. A super--p--brane action is constructed solely of geometrical
objects as the integral over a (p+1)--surface. The Lagrangian is the external
product of supervielbein differential forms in world supersurface and target
superspace without any use of Lagrange multipliers. This allows one to escape
the problem of infinite irreducible symmetries and redundant propagating
fields. All the constraints on the geometry of world supersurface and the
conditions of its embedding into target superspace arise from the action as
differential form equations.
