These are the number-one singles of 1968 according to the Top 100 Singles chart in Cashbox magazine.
Issue date Song Artist January 6 "Hello, Goodbye" The Beatles January 13 "I Heard It Through The Grapevine" Gladys Knight & the Pips January 20 "Chain Of Fools" Aretha Franklin January 27 "Judy in Disguise (With Glasses)" John Fred And His Playboy Band February 3 "Green Tambourine" The Lemon Pipers February 10 "Love is Blue" Paul Mauriat February 17 February 24 March 2 March 9 March 16 March 23 March 30 "Valleri" The Monkees April 6 April 13 "Young Girl" Gary Puckett & The Union Gap April 20 "Honey" Bobby Goldsboro April 27 May 4 May 11 May 18 "Tighten Up" Archie Bell & the Drells May 25 "Mrs. Robinson" Simon and Garfunkel June 1 June 8 June 15 June 22 "This Guy's in Love with You" Herb Alpert June 29 July 6 July 13 July 20 "Jumpin' Jack Flash" The Rolling Stones July 27 "Grazing in the Grass" Hugh Masekela August 3 "Lady Willpower" Gary Puckett & The Union Gap August 10 "Classical Gas" Mason Williams August 17 "Hello, I Love You" The Doors August 24 "People Got to Be Free" The Rascals August 31 September 7 September 14 "Harper Valley PTA" Jeannie C. Riley September 21 "Hey Jude" The Beatles September 28 October 5 October 12 October 19 October 26 November 2 November 9 "Those Were the Days" Mary Hopkin November 16 November 23 "Love Child" Diana Ross & the Supremes November 30 December 7 December 14 "For Once in My Life" Stevie Wonder December 21 "I Heard It Through the Grapevine" Marvin Gaye December 28
See also 1968 in music List of Hot 100 number-one singles of 1968 (U.S.)
References http://members.aol.com/_ht_a/randypny2/cashbox/1968.html https://web.archive.org/web/20101121003349/http://cashboxmagazine.com/archives/60s_files/1968.html http://musicseek.info/no1hits/1968.htm