These are the Record World number-one albums of 1968.
| Issue date | Album | Artist(s) | Label |
|---|---|---|---|
| January 6 | Magical Mystery Tour | The Beatles / Soundtrack | Capitol |
| January 13 | |||
| January 20 | |||
| January 27 | |||
| February 3 | |||
| February 10 | |||
| February 17 | |||
| February 24 | John Wesley Harding | Bob Dylan | Columbia |
| March 2 | Blooming Hits | Paul Mauriat and His Orchestra | Philips |
| March 9 | |||
| March 16 | |||
| March 23 | |||
| March 30 | |||
| April 6 | |||
| April 13 | The Graduate | Simon & Garfunkel / Soundtrack | Columbia |
| April 20 | |||
| April 27 | |||
| May 4 | |||
| May 11 | |||
| May 18 | |||
| May 25 | Bookends | Simon & Garfunkel | Columbia |
| June 1 | |||
| June 8 | |||
| June 15 | |||
| June 22 | |||
| June 29 | |||
| July 6 | The Beat of the Brass | Herb Alpert and the Tijuana Brass | A&M |
| July 13 | |||
| July 20 | |||
| July 27 | |||
| August 3 | Wheels of Fire | Cream | Atco |
| August 10 | |||
| August 17 | |||
| August 24 | The Rascals | Atlantic | |
| August 31 | Waiting for the Sun | The Doors | Elektra |
| September 7 | |||
| September 14 | |||
| September 21 | |||
| September 28 | Cheap Thrills | Big Brother and the Holding Company | Columbia |
| October 5 | |||
| October 12 | |||
| October 19 | |||
| October 26 | Feliciano! | Jose Feliciano | |
| November 2 | Electric Ladyland | Jimi Hendrix Experience | Reprise |
| November 9 | |||
| November 16 | |||
| November 23 | |||
| November 30 | Cheap Thrills | Big Brother and the Holding Company | Columbia |
| December 7 | |||
| December 14 | The Beatles (The White Album) | The Beatles | Apple |
| December 21 | |||
| December 28 |