| Years | Events | |
| 1956 | Janssen Medal of the French Astronomical Society for scientific services | |
| 1960 | Catherine Bruce gold medal of the Astronomical Society of the Pacific (California, USA) for outstanding services in the field of astronomy | |
| 1960 | Gold medal of the Great Britain Royal Astronomical Society for works in the field of theoretical astrophysics and stellar astronomy. On the occasion of the official award of the medal Ambartsumian gave a George-Darwin lecture at the session of the Society in London "Evolution of Stellar Systems" | |
| 1960 | Medal "For Labour Valour" | |
| 1970 | S.I. Vavilov medal by the Presidium of Administration of the All-Union Society "Knowledge" for services in popularization of political and scientific knowledge | |
| 1970 | Gold medal of the Slovak Academy of Sciences for outstanding scientific and social activity and for services to humanity | |
| 1971 | Helmholtz medal by the German Academy of Sciences in Berlin (GDR) for successes in the field of natural sciences | |
| 1971 | M.V. Lomonosov Gold medal, the highest award of the USSR Acad. Sci., by the Presidium of the Academy for outstanding achievements in the field of astronomy and astrophysics; Lomonosov talk at the award ceremony: "Non-Stationary Phenomena in the World of Stars and Galaxies" | |
| 1974 | Kotenius Gold medal by the German Academy of Naturalists ("Leopoldina") in Halle (GDR) | |
| 1974 | Sarmiento medal by the Cordoba (Argentina) Academy of Sciences for scientific and pedagogical services | |
| 1984 | Gold medal of the Academy of Sciences of Czechoslovakia for scientific services | |
| 1944 | Labour Red Banner Order for outstanding services in preparing astronomy specialists and on the occasion of 125th anniversary of the Leningrad University | |
| 1945 | Lenin Order for outstanding services in development of science and engineering and on occasion of the 220th anniversary of the USSR Acad. Sci. | |
| 1953 | Labour Red Banner Order for long service and stainless work | |
| 1958 | Lenin Order for outstanding services in the field of development of astronomy and on the occasion of his 50th anniversary | |
| 1969 | Cyril & Mefodiy Order of I degree by Presidium of the National Assembly of the People's Republic of Bulgaria for successes in development of science | |
| 1973 | Order of "Service" of the III degree by the Government of Poland for outstanding scientific services | |
| 1974 | Lenin Order for scientific services on the occasion of the 250th anniversary of the USSR Acad. Sci. | |
| 1975 | Order of "Banner" of the Hungarian People's Republic | |
| 1983 | October Revolution Order for scientific services and on the occasion of his 75th anniversary | |
| 1988 | Order of "Honour" | |
| 1994 | Motherland Order and title of "National Hero of Armenia" for creation of scientific values of international significance, exceptional services in the field of organization of science |