In this work, the charged black hole solution to the Brans– Dicke GRAVITY theory in the presence of the nonlinear electrodynamicshas been investigated. To simplify the field equations, a conformal transformation has been introduced whichtransforms the Brans– Dicke– Born– Infeld Lagrangian to that of Einstein-dilaton– Born– Infeld theory. A new class ofð n þ 1Þ-dimensional black hole solution has been constructed out as the exact solution to the Brans– Dicke theory in thepresence of the Born– Infeld nonlinear electrodynamics. The physical properties of the solutions have been studied. Theblack hole charge and temperature have been calculated making use of the Gauss’ s law and the concept of surface GRAVITY, respectively. Also, the black hole mass and entropy have been obtained from geometrical methods. Trough a Smarr-typemass formula as a function of the black hole charge and entropy the black hole temperature and electric potential, as theintensive parameters conjugate to the black hole entropy and charge, have been calculated. The consistency of results of thegeometrical and thermodynamical approaches confirms the validity of the first law of black hole thermodynamics for thisnew black hole solution. Finally, making use of the ensemble canonical method, the local stability or phase transition of thenew ð n þ 1Þ-dimensional Brans– Dicke– Born– Infeld black hole solution has been analyzed.