| Neuchatel OpenNeuchatel· May 27, 2004 | May 27, 2004 | Classical | 7 | 2235 | 7 |
Neuchatel SUI, Open 2004 Neuchatel SUI· May 27, 2004 | May 27, 2004 | Classical | 16 | 2251 | 13 |
| 5. European Individual Chess· May 15 – 27, 2004 | May 15 – 27, 2004 | Classical | 15 | 2564 | 13 |
Quebec Montcalm Open Quebec CAN· Jan 9 – May 27, 2004 | Jan 9 – May 27, 2004 | Classical | 22 | 1964 | 32 |
FIDE-Wch k.o. women Elista RUS· May 22 – 27, 2004 | May 22 – 27, 2004 | Classical | 19 | 2368 | 11 |
Bosnia GM Sarajevo BIH· May 18 – 27, 2004 | May 18 – 27, 2004 | Classical | 10 | 2616 | 42 |
| Puente Alto IRT OpenSantiago de Chile· Mar 28 – May 27, 2004 | Mar 28 – May 27, 2004 | Classical | 14 | 2045 | 45 |
| TECTEC· Jan 30 – May 26, 2004 | Jan 30 – May 26, 2004 | Classical | 7 | 1864 | 5 |
| Panepistimiada 2004Kalamata· May 25 – 26, 2004 | May 25 – 26, 2004 | Classical | 29 | 2025 | 39 |
103. NY Masters New York, NY USA· May 25, 2004 | May 25, 2004 | Classical | 7 | 2472 | 5 |
Elekes Memorial IM 29th Budapest HUN· May 15 – 25, 2004 | May 15 – 25, 2004 | Classical | 12 | 2232 | 16 |
Keres Memorial 29th Vancouver BC CAN· May 21 – 25, 2004 | May 21 – 25, 2004 | Classical | 32 | 2113 | 77 |
29. Elekes Mem IM Budapest HUN· May 15 – 25, 2004 | May 15 – 25, 2004 | Classical | 12 | 2232 | 39 |
29. Elekes Mem GM Budapest HUN· May 15 – 25, 2004 | May 15 – 25, 2004 | Classical | 13 | 2276 | 35 |
Elekes Memorial GM 29th Budapest HUN· May 15 – 25, 2004 | May 15 – 25, 2004 | Classical | 13 | 2316 | 30 |
| Lazarsky MemorialUshuaia· Mar 4 – May 25, 2004 | Mar 4 – May 25, 2004 | Classical | 14 | 1825 | 23 |
Winnipeg TNT May Open Winnipeg CAN· May 4 – 25, 2004 | May 4 – 25, 2004 | Classical | 17 | 1817 | 23 |
| Keres Memorial U2000 29thVancouver· May 22 – 24, 2004 | May 22 – 24, 2004 | Classical | 9 | 1880 | 5 |
| Keres Memorial 29. U2000Vancouver· May 22 – 24, 2004 | May 22 – 24, 2004 | Classical | 7 | 1876 | 6 |
| Charlesbourg ZukertortCharlesbourg· Apr 26 – May 24, 2004 | Apr 26 – May 24, 2004 | Classical | 12 | 1891 | 24 |
Ontario Open Ontario CAN· May 22 – 24, 2004 | May 22 – 24, 2004 | Classical | 18 | 2239 | 18 |
| SI.2004.0.00020Chessfriend.com· May 24, 2004 | May 24, 2004 | Classical | 8 | 1974 | 32 |
Memorial P.Keres Open Vancouver BC CAN· May 21 – 24, 2004 | May 21 – 24, 2004 | Classical | 9 | 2263 | 11 |
Trofeo CBA Milan ITA· May 14 – 24, 2004 | May 14 – 24, 2004 | Classical | 12 | 2266 | 55 |
Vancouver CAN, 29. Keres Memorial Vancouver BC CAN· May 22 – 24, 2004 | May 22 – 24, 2004 | Classical | 11 | 2264 | 11 |
Coupe de France Paris FRA· May 22 – 23, 2004 | May 22 – 23, 2004 | Classical | 11 | 2411 | 7 |
| 07.Saarlouis 2004 OpenSaarlouis (19.05.-23.05)· May 19 – 23, 2004 | May 19 – 23, 2004 | Classical | 8 | 1846 | 7 |
Berlin Unicorn Berlin GER· May 23, 2004 | May 23, 2004 | Classical | 32 | 1917 | 16 |
4NCL/Div1/BAR2 vs. AD1 West Bromwich ENG· May 23, 2004 | May 23, 2004 | Classical | 10 | 2363 | 5 |
Memorial Elekes (cat.2) Budapest HUN· May 15 – 23, 2004 | May 15 – 23, 2004 | Classical | 8 | 2288 | 8 |
4NCL/Div2/MMNWE2 vs. MIN1 West Bromwich ENG· May 23, 2004 | May 23, 2004 | Classical | 12 | 2172 | 6 |
| Montigny le Bretonneux OpenMontigny le Bretonneux· May 20 – 23, 2004 | May 20 – 23, 2004 | Classical | 21 | 1758 | 44 |
| Oklahoma Open 59thBroken Arrow· May 22 – 23, 2004 | May 22 – 23, 2004 | Classical | 24 | 1995 | 45 |
| Quebec Ch qual EstrieSherbrooke· May 15 – 23, 2004 | May 15 – 23, 2004 | Classical | 4 | 1804 | 6 |
| Saarlouis (19.05.-23.05)Saarlouis (19.05.-23.05)· May 19 – 23, 2004 | May 19 – 23, 2004 | Classical | 20 | 2028 | 16 |
NOR-chTA final Trondheim NOR· May 19 – 23, 2004 | May 19 – 23, 2004 | Classical | 37 | 2239 | 37 |
Victor Syre Open Issy les Moulineaux FRA· May 20 – 23, 2004 | May 20 – 23, 2004 | Classical | 72 | 2061 | 65 |
| Angleterre 4NCL Div2 (championnat)West Bromwich· May 22 – 23, 2004 | May 22 – 23, 2004 | Classical | 10 | 1991 | 5 |
Quebec Ch qual Quebec CAN· May 21 – 23, 2004 | May 21 – 23, 2004 | Classical | 12 | 1902 | 17 |
URU Ch Montevideo URU· May 15 – 23, 2004 | May 15 – 23, 2004 | Classical | 31 | 2150 | 118 |
Syre Memorial Open 27th Issy les Moulineaux FRA· May 20 – 23, 2004 | May 20 – 23, 2004 | Classical | 53 | 2079 | 43 |
Uruguay (championnat) Montevideo URU· May 15 – 23, 2004 | May 15 – 23, 2004 | Classical | 23 | 2136 | 31 |
Berlin Unicorn Open Berlin GER· May 19 – 23, 2004 | May 19 – 23, 2004 | Classical | 67 | 2030 | 42 |
ENG, 4NCL/Div2 rounds 10-11 West Bromwich ENG· May 22 – 23, 2004 | May 22 – 23, 2004 | Classical | 81 | 2232 | 59 |
BCF Team Ch 0304 (4NCL) West Bromwich ENG· Jan 17 – May 23, 2004 | Jan 17 – May 23, 2004 | Classical | 79 | 2334 | 75 |
Coupe de France Clichy FRA· May 22 – 23, 2004 | May 22 – 23, 2004 | Classical | 12 | 2455 | 8 |
| LA County OpenMonterey Park, CA· May 22 – 23, 2004 | May 22 – 23, 2004 | Classical | 17 | 2203 | 17 |
Berlin GER, Unicorn 2004 Berlin GER· May 20 – 23, 2004 | May 20 – 23, 2004 | Classical | 44 | 2177 | 65 |
C.to Provinciale AP-MC Morrovalle ITA· May 15 – 23, 2004 | May 15 – 23, 2004 | Classical | 10 | 1825 | 27 |
NOR-chTB final Trondheim NOR· May 19 – 23, 2004 | May 19 – 23, 2004 | Classical | 64 | 2045 | 82 |