| Game |
| Result | Moves |
Year |
Event/Locale | Opening |
| 1. G Welling vs H Molvig |
| ½-½ | 39 |
1995 |
Copenhagen 1st DSDS | A49 King's Indian, Fianchetto without c4 |
| 2. Adams vs H Molvig |
| 1-0 | 29 |
1997 |
It (open) | B25 Sicilian, Closed |
| 3. H Molvig vs T Ronsted |
| 1-0 | 28 |
2000 |
Politiken Cup | D17 Queen's Gambit Declined Slav |
| 4. N C Kragh vs H Molvig |
| ½-½ | 16 |
2000 |
Politiken Cup | B99 Sicilian, Najdorf, 7...Be7 Main line |
| 5. H Molvig vs T Hoff |
| 1-0 | 56 |
2000 |
Politiken Cup | A57 Benko Gambit |
| 6. H Molvig vs M Antonsen |
| 0-1 | 67 |
2000 |
Politiken Cup | A32 English, Symmetrical Variation |
| 7. C Rasmussen vs H Molvig |
| ½-½ | 26 |
2001 |
Politiken Cup | A00 Uncommon Opening |
| 8. H Molvig vs J Pallesen |
| ½-½ | 42 |
2001 |
Politiken Cup | A86 Dutch |
| 9. H Molvig vs P Lezcano Jaen |
| 0-1 | 28 |
2001 |
Politiken Cup | E11 Bogo-Indian Defense |
| 10. J M Nielsen vs H Molvig |
| ½-½ | 14 |
2001 |
Politiken Cup | D61 Queen's Gambit Declined, Orthodox, Rubinstein Attack |
| 11. D Palo vs H Molvig |
| ½-½ | 32 |
2001 |
Politiken Cup | D31 Queen's Gambit Declined |
| 12. H Molvig vs M Westlund |
| 1-0 | 61 |
2001 |
Politiken Cup | E98 King's Indian, Orthodox, Taimanov, 9.Ne1 |
| 13. H Molvig vs D Bekker-Jensen |
| 1-0 | 16 |
2001 |
Politiken Cup | E94 King's Indian, Orthodox |
| 14. Hector vs H Molvig |
| 1-0 | 41 |
2001 |
Politiken Cup | B99 Sicilian, Najdorf, 7...Be7 Main line |
| 15. H Molvig vs M Jorgensen |
| ½-½ | 32 |
2001 |
Politiken Cup | A87 Dutch, Leningrad, Main Variation |
| 16. J H Nielsen vs H Molvig |
| 0-1 | 35 |
2001 |
Politiken Cup | A00 Uncommon Opening |
| 17. H Molvig vs A Moller |
| 1-0 | 32 |
2001 |
Politiken Cup | E17 Queen's Indian |
| 18. H Strand vs H Molvig |
| ½-½ | 33 |
2005 |
Politiken Cup | B23 Sicilian, Closed |
| 19. H Molvig vs Henning Forsmann |
| ½-½ | 26 |
2005 |
Politiken Cup 27th | E11 Bogo-Indian Defense |
| 20. F Preuss vs H Molvig |
| ½-½ | 20 |
2006 |
Politiken Cup | A02 Bird's Opening |
| 21. J Hansen vs H Molvig |
| 0-1 | 48 |
2006 |
Politiken Cup | D19 Queen's Gambit Declined Slav, Dutch |
| 22. H Molvig vs P Nielsen |
| 1-0 | 37 |
2006 |
Politiken Cup | D55 Queen's Gambit Declined |
| 23. H Molvig vs S Brynell |
| 0-1 | 34 |
2006 |
Politiken Cup | E15 Queen's Indian |
| 24. E Haugstad vs H Molvig |
| 0-1 | 24 |
2006 |
Politiken Cup | B90 Sicilian, Najdorf |
| 25. A Pedersen vs H Molvig |
| 0-1 | 41 |
2006 |
Politiken Cup | B90 Sicilian, Najdorf |