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The following is a list of the IRMA's number-one singles of 1998. The dates shown below are Sundays.
| Issue date | Song | Artist | Ref. |
|---|---|---|---|
| 4 January | "Perfect Day" | Various Artists | |
| 11 January | |||
| 18 January | "All Around the World" | Oasis | |
| 25 January | |||
| 1 February | "Doctor Jones" | Aqua | |
| 8 February | |||
| 15 February | "My Heart Will Go On" | Celine Dion | |
| 22 February | |||
| 1 March | |||
| 8 March | |||
| 15 March | |||
| 22 March | |||
| 29 March | "It's Like That" | Run-D.M.C. vs. Jason Nevins | |
| 5 April | |||
| 12 April | |||
| 19 April | |||
| 26 April | "All That I Need" | Boyzone | |
| 3 May | |||
| 10 May | |||
| 17 May | "Feel It" | The Tamperer featuring Maya | |
| 24 May | |||
| 31 May | |||
| 7 June | "C'est La Vie" | B*Witched | |
| 14 June | |||
| 21 June | |||
| 28 June | |||
| 5 July | |||
| 12 July | |||
| 19 July | "Ghetto Supastar" | Pras Michel feat. Mýa and Ol' Dirty Bastard | |
| 26 July | |||
| 2 August | |||
| 9 August | "No Matter What" | Boyzone | |
| 16 August | |||
| 23 August | |||
| 30 August | |||
| 6 September | |||
| 13 September | |||
| 20 September | "Millennium" | Robbie Williams | |
| 27 September | |||
| 4 October | [1] [a] | ||
| 11 October | "I Don't Want to Miss a Thing" | Aerosmith | |
| 18 October | |||
| 25 October | "Sweetest Thing" | U2 | |
| 1 November | |||
| 8 November | "Irreplaceable" | Kerri Ann | |
| 15 November | "Believe" | Cher | |
| 22 November | |||
| 29 November | |||
| 6 December | |||
| 13 December | |||
| 20 December | |||
| 27 December | "Goodbye" | Spice Girls |