A comparative study of the Li6(d, p)Li7 and Li6(d, n)Be7 reactions has been made in order to serve as a critical test of the principle of charge symmetry in nuclear reactions. The ground and first excited states of Li7 and Be7 are believed to be pure isobaric spin doublets. The need has been eliminated for substantial Coulomb and phase space corrections, since the ratios of the ground to first excited state cross-sections are compared. The observed equality of the neutron and proton results over the bombarding energy range 0.4-3.2 MeV may be taken as a striking and model independent confirmation of the principle of charge symmetry. An interesting anomaly in the angular distribution results was observed which does not seem explainable in ordinary distorted wave stripping theory.