  We use Noether symmetry approach to find spherically symmetric static
solutions of the non-minimally coupled electromagnetic fields to gravity. We
construct the point-like Lagrangian under the spherical symmetry assumption.
Then we determine Noether symmetry and the corresponding conserved charge. We
derive Euler-Lagrange equations from this point-like Lagrangian and show that
these equations are same with the differential equations derived from the field
equations of the model. Also we give two new exact asymptotically flat
solutions to these equations and investigate some thermodynamic properties of
these black holes.
