Very precise elastic cross sections have been measured in a very forward angular range (up to 1.6 laboratory) for the ' C+ ' C system at six energies not too far above the Coulomb barrier. From these data the symmetrized nuclear scattering amplitude f~(0) for small angles and the total reaction cross section 0. + could be derived making use of the generalized optical theorem for charged particles. It was found that~f~(0)~exceeds zero significantly in all cases investigated. This means that a forward nuclear glory exists in the ' C+' C scattering. This is the first time that evidence for a forward nuclear glory is deduced from experimental data.