The analysis of binding energies of the sd shell nuclei appeared to be a~new, interesting application of the supersymmetric model. After fitting the model parameters from masses and excited energy levels of well established nuclei it is possible to describe other exotic nuclei from the edge of a stability line, belonging to the same supermultiplet. We have applied such a~procedure to the oxygen isotopes ^26,28O. The method can be treated more generally for the construction of a~supersymmetric mass formula for all of the sd~shell nuclei. The results are quite satisfactory in comparison with experimental data and also with other theoretical predictions. It provides an additional argument for the approximate supersymmetry of the sd shell nuclei.

PACS numbers: 21.10.Dr, 21.60.Fw