The Alfréd Rényi Prize is awarded biennially by the Alfréd Rényi Institute of Mathematics of the Hungarian Academy of Science in honor of founder Alfréd Rényi. By the current rules it is given to one or two fellows of the Institute in recognition of their outstanding performance in mathematics research of the previous five-year period. Members of the Hungarian Academy of Sciences and the director are not eligible.
| Year | Name | Notes |
|---|---|---|
| 1972 | Gábor Halász | |
| 1973 | Endre Szemerédi | |
| 1974 | József Szabados | |
| 1975 | János Komlós | |
| 1976 | Gyula O. H. Katona | |
| 1977 | András Sárközy | Declined |
| Gáboir Tusnády | ||
| 1978 | No award | |
| 1979 | ||
| 1980 | ||
| 1981 | ||
| 1982 | ||
| 1983 | ||
| 1984 | József Beck | |
| Péter Vértesi | ||
| 1985 | Zoltán Füredi | |
| János Pintz | ||
| 1986 | Imre Z. Ruzsa | |
| Emil Kiss | ||
| 1987 | János Körner | |
| Hajnal Andréka | ||
| 1988 | Imre Bárány | |
| József Fritz | ||
| 1989 | Péter Major | |
| István Berkes | ||
| 1990 | Pham Ngoc Ánh | Only foreign awardee (Vietnam)[1] |
| 1991 | Antal Balog | |
| Ervin Győri | ||
| 1992 | János Pach | |
| 1993 | László Pyber | |
| Lajos Soukup | ||
| 1994 | Nándor Simányi | |
| Gábor Simonyi | ||
| 1995 | No award | |
| 1996 | Katalin Marton | |
| Endre Makai | ||
| 1997 | Gábor Fejes Tóth | |
| 1998 | András Kroó | |
| 1999 | Gábor Tardos | |
| 2000 | Péter Pál Pálfy | |
| 2001 | Mátyás Domokos | |
| 2002 | László Márki | |
| 2003 | No award | |
| 2004 | ||
| 2005 | András Stipsicz | From this point onwards it's awarded every odd year[2] |
| 2007 | Andras Nemethi | |
| 2009 | Gábor Elek | |
| 2011 | Géza Tóth | |
| 2013 | Gergely Harcos | |
| Endre Szabó | ||
| 2015 | Andras Biró | |
| Károly Böröczky | ||
| 2017 | Miklós Abért | |
| 2019 | Balázs Szegedy | |
| 2021 | Márton Elekes | Gerbner and Patkós receive a separate prize to Elekes |
| Dániel Gerbner | ||
| Balázs Patkós | ||
| 2023 | Máté Matolcsi | |
| Szilárd Révész |