These are the Official Charts Company's UK Indie Chart number-one albums of 2013.
| † | Best-selling indie album of the year |
| Issue date | Album | Artist(s) | Record label | Ref. |
|---|---|---|---|---|
| 6 January | Coexist | The xx | Young Turks | [1] |
| 13 January | An Awesome Wave | Alt-J | Infectious | [2] |
| 20 January | [3] | |||
| 27 January | Oui Oui Si Si Ja Ja Da Da | Madness | Cooking Vinyl | [4] |
| 3 February | An Awesome Wave | Alt-J | Infectious | [5] |
| 10 February | [6] | |||
| 17 February | The Best of Eva Cassidy | Eva Cassidy | Blix Street Records | [7] |
| 24 February | Electric | Richard Thompson | Proper Records | [8] |
| 3 March | Push the Sky Away | Nick Cave and the Bad Seeds | Bad Seed LTD | [9] |
| 10 March | Amok | Atoms for Peace | XL | [10] |
| 17 March | Graffiti on the Train | Stereophonics | Ignition | [11] |
| 24 March | [12] | |||
| 31 March | [13] | |||
| 7 April | Comedown Machine | The Strokes | RCA | [14] |
| 14 April | Graffiti on the Train | Stereophonics | Stylus Records | [15] |
| 21 April | English Electric | Orchestral Manoeuvres in the Dark | 100% Records | [16] |
| 28 April | Deleted Scenes from the Cutting Room Floor | Caro Emerald | Grandmono | [17] |
| 5 May | Graffiti on the Train | Stereophonics | Stylus Records | [18] |
| 12 May | All the Little Lights | Passenger | Nettwerk | [19] |
| 19 May | The Shocking Miss Emerald | Caro Emerald | Grandmono | [20] |
| 26 May | Modern Vampires of the City | Vampire Weekend | XL | [21] |
| 2 June | Trouble Will Find Me | The National | 4AD | [22] |
| 9 June | All the Little Lights | Passenger | Nettwerk | [23] |
| 16 June | ...Like Clockwork | Queens of the Stone Age | Malador | [24] |
| 23 June | Tomorrow's Harvest | Boards of Canada | Warp | [25] |
| 30 June | All the Little Lights | Passenger | Nettwerk | [26] |
| 7 July | [27] | |||
| 14 July | The Weight of Your Love | Editors | PIAS | [28] |
| 21 July | All the Little Lights | Passenger | Nettwerk | [29] |
| 28 July | Electric | Pet Shop Boys | x2 | [30] |
| 4 August | All the Little Lights | Passenger | Nettwerk | [31] |
| 11 August | [32] | |||
| 18 August | [33] | |||
| 25 August | [34] | |||
| 1 September | Where You Stand | Travis | Red Telephone Box | [35] |
| 8 September | Right Thoughts, Right Words, Right Action | Franz Ferdinand | Domino | [36] |
| 15 September | All the Little Lights | Passenger | Nettwerk | [37] |
| 22 September | AM † | Arctic Monkeys | Domino Records | [38] |
| 29 September | [39] | |||
| 6 October | [40] | |||
| 13 October | [41] | |||
| 20 October | [42] | |||
| 27 October | [43] | |||
| 3 November | [44] | |||
| 10 November | [45] | |||
| 17 November | A Picture of You | Daniel O'Donnell | Ritz | [46] |
| 24 November | AM† | Arctic Monkeys | Domino Records | [47] |
| 1 December | [48] | |||
| 8 December | [49] | |||
| 15 December | [50] | |||
| 22 December | [51] | |||
| 29 December | [52] | |||