These are the songs that reached number one in the USA on the Top 60 Best Sellers chart (expanded to 75 on June 21, 1958, and 100 on September 13, 1958) in 1958 as published by Cash Box magazine. +KeyIndicates best-performing single of 1958
Issue date Song ArtistJanuary 4 At the Hop Danny & the JuniorsJanuary 11 January 18 January 25 February 1 February 8 The Stroll The DiamondsFebruary 15 February 22 Get a Job The SilhouettesMarch 1 Don't Elvis PresleyMarch 8 Get a Job The SilhouettesMarch 15 Tequila The ChampsMarch 22 March 29 April 5 April 12 April 19 He's Got The Whole World (In His Hands) Laurie LondonApril 26 May 3 Twilight Time The PlattersMay 10 Witch Doctor David SevilleMay 17 All I Have to Do Is Dream The Everly Brothers May 24 May 31 June 7 June 14 The Purple People Eater Sheb WooleyJune 21 June 28 July 5 July 12 July 19 Yakety Yak The CoastersJuly 26 Patricia Perez Prado & OrchestraAugust 2 August 9 August 16 August 23 Nel Blu Dipinto Di Blu (Volare) Domenico Modugno, Dean MartinAugust 30 September 6 September 13 September 20 September 27 October 4 It's All in the Game Tommy EdwardsOctober 11 October 18 October 25 November 1 November 8 Topsy Part 2 Cozy ColeNovember 15 It's Only Make Believe Conway TwittyNovember 22 Tom Dooley The Kingston TrioNovember 29 December 6 December 13 To Know Him Is to Love Him The Teddy BearsDecember 20 The Chipmunk Song Chipmunks with David SevilleDecember 27
See also 1958 in music List of Hot 100 number-one singles of 1958 (U.S.)
References http://www.cashboxmagazine.com/archives/50s_files/1958.html