Recipients of the award, their year of nomination, and place of the announcement in Computers & Geosciences (C&G), are:
| Griffiths Award | Year | Recipient | Announcement |
| 1 | 1996 | John H. Doveton | C&G 25(1) V-VI |
| 2 | 1998 | Margaret Armstrong | C&G 25(8) III |
| 3 | 2000 | Lawrence Drew | C&G 29(4), 543-544 |
| 4 | 2002 | Ian Lerche | C&G 29(5), 683-684 |
| 5 | 2004 | Jack Schuenemeyer | C&G 37(12), 1989-99 |
| 6 | 2006 | Paul Switzer | C&G 37(12), 1991 |
| 7 | 2008 | Vera Pawlowsky-Glahn | C&G 37(12), 1992 |
| 8 | 2010 | Ana Fernández Militino | C&G 37(10), 1719 |
| 9 | 2012 | Helmut Schaeben | C&G 56, 221–223 |
| 10 | 2014 | Clayton V. Deutsch | C&G 70, 55 |
| 11 | 2016 | Juan José Egozcue | |
| 12 | 2018 | Ute Müller | |
| 13 | 2020 | Gang Liu | |
| 13 | 2022 | Philippe Renard |