Supersymmetric extension of the Snyder algebra

► A new supersymmetric extension of the Snyder algebra is constructed. ► The extension is minimal and the construction does not involve supersymmetric de Sitter algebras. ► An involution is defined for the system and discrete representations are constructed. ► The representations imply a spatial lattice and the lattice spacing is half that of the bosonic case. ► A differential operator representation is given for fields on super-momentum space.