[en] The hidden symmetry and an infinite set non-local conserved currents of the Green-Schwarz superstring on AdS₅ x S⁵ have been pointed out by Bena et al. In this paper, we show that the Hodge dual between the Maurer-Cartan equation and the equation of motion gives the hidden symmetry in the moduli space of Green-Schwarz superstring. Thus by twisty transforming the vielbeins, we can express the currents of the paper [I. Bena, J. Polchinski, and R. Roiban, Phys. Rev. D 69 (2004) 046002] as the Lax connections by a unique spectral parameter