These are the songs that reached number one on the Top 50 Best Sellers chart in 1954 as published by Cash Box magazine.
Issue date Song ArtistJanuary 2"Oh My Pa-Pa (O Mein Papa)"Eddie Fisher, Eddie CalvertJanuary 9January 16January 23January 30February 6"Stranger in Paradise"Tony Bennett, The Four Aces, Tony MartinFebruary 13"Oh My Pa-Pa (O Mein Papa)"Eddie Fisher, Eddie CalvertFebruary 20February 27"Stranger in Paradise"Tony Bennett, The Four Aces, Tony MartinMarch 6"Secret Love"Doris DayMarch 13March 20March 27April 3April 10"Wanted"Perry ComoApril 17April 24May 1May 8May 15May 22May 29June 5"Little Things Mean a Lot"Kitty KallenJune 12June 19June 26"Three Coins in the Fountain"The Four AcesJuly 3"Little Things Mean a Lot"Kitty KallenJuly 10July 17"Three Coins in the Fountain"The Four AcesJuly 24"Little Things Mean a Lot"Kitty KallenJuly 31August 7"Sh-Boom"The Crew Cuts, The ChordsAugust 14August 21August 28September 4September 11September 18September 25"Hey There"Rosemary Clooney, Sammy Davis Jr.October 2October 9October 16October 23October 30November 6November 13November 20"I Need You Now"Eddie FisherNovember 27December 4"Mr. Sandman"The ChordettesDecember 11The Chordettes, The Four AcesDecember 18"Let Me Go, Lover!"Joan WeberDecember 25"Mr. Sandman"The Chordettes, The Four Aces
See also 1954 in music List of number-one singles of 1954 (U.S.)
References http://www.cashboxmagazine.com/archives/50s_files/1954.html