It is known that the six-dimensional sphere S6 equipped with the canonical nearly Kahlerian structure was the rst example of non-Kahlerian almost Hermitian manifold. That is why it presents a special interest for researchers in Hermitian geometry. Such outstanding mathematicians as A. Gray, V.F. Kirichenko, K. Sekigawa and N. Ejiri have studied diverse aspects of the geometry of the nearly Kahlerian six-dimensional sphere. It is also known that almost contact metric (acm-) structures are induced on oriented hypersurfaces of almost Hermitian manifolds. Many geometers observe that namely this fact determines the profound connection between the contact and Hermitian geometries. Almost contact metric structures on hypersurfaces of almost Hermitian manifolds were studied by some remarkable geometers. The works of D.E. Blair, S. Goldberg, S. Ishihara, S. Sasaki, H. Yanamoto and K. Yano are assumed classical. In the present communication, we consider acm- structures on hypersurfaces of the nearly Kahlerian six-dimensional sphere.