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General relativity can be formulated as a SU(2) BF-theory with constraints,as has been shown, by Pleba\'nski. The cosmological constant term can beobtained from the constraint term, following from the consistency of theequations of motion, as recently shown by Krasnov. We consider an $OSp(2|1)$invariant, supergravity extension of this theory, for which the consistency ofthe equations of motion and the constraints contribute as well to thecosmological constant terms of Townsend's supergravity. The Kalb-Ramondinvariance is shortly discussed.

Supergroup BF action for supergravity