He served as a delegate to the 1945San Francisco Conference that established theUnited Nations. He was ambassador toBrazil from 1962 to 1964, and was state secretary to the ministry of foreign affairs from 1964 to 1970. In 1971–1975 he served as his country's representative to the United Nations before an appointment asforeign minister in 1975–76. He was then appointed Mexico's permanent representative to the UN'sCommittee on Disarmament.
García Robles received the Nobel Peace Prize as the driving force behind theTreaty of Tlatelolco, which set up a nuclear-free zone inLatin America and theCaribbean. The agreement was signed in 1967 by most states in the region, though some states took some time to ratify the agreement.