These are the songs that reached number one on the Top 50 Best Sellers chart in 1955 as published by Cash Box magazine.

Issue date Song ArtistJanuary 1"Mr. Sandman"The Chordettes, The Four AcesJanuary 8"Let Me Go, Lover!"Joan WeberJanuary 15"Mr. Sandman"The Chordettes, The Four AcesJanuary 22January 29February 5"Melody of Love"Billy Vaughn & Orchestra, David Carroll & Orchestra, The Four AcesFebruary 12February 19February 26March 5March 12March 19March 26"The Ballad of Davy Crockett"Bill HayesApril 2April 9April 16April 23April 30May 7Bill Hayes, Fess Parker, Tennessee Ernie FordMay 14May 21"Unchained Melody"Les Baxter & Orchestra, Al Hibbler, Roy HamiltonMay 28June 4June 11June 18June 25July 2"(We're Gonna) Rock Around the Clock"Bill Haley & His CometsJuly 9July 16July 23July 30August 6August 13August 20August 27"The Yellow Rose of Texas"Mitch Miller & Orchestra, Johnny DesmondSeptember 3September 10September 17September 24October 1October 8October 15"Love is a Many-Splendored Thing"The Four AcesOctober 22October 29"Autumn Leaves"Roger WilliamsNovember 5"Love is a Many-Splendored Thing"The Four AcesNovember 12"Autumn Leaves"Roger WilliamsNovember 19November 26"Sixteen Tons"Tennessee Ernie FordDecember 3December 10December 17December 24December 31

See also 1955 in music List of number-one singles of 1955 (U.S.)

References https://web.archive.org/web/20071030043425/http://cashboxmagazine.com/archives/50s_files/1955.html