Though The Addams Family only existed for two seasons on television in the mid-'60s, it captured the macabre imagination of America, due in no small part to its incredibly catchy theme song. Rarely have any four chords been given so much instant recognition as those that open this melody, always followed by the requisite and iconic finger-snaps. The song was composed by Vic Mizzy. A popular composer for film and television in the '50s and '60s, he also had radio hits going back as far as the '30s and '40s. He's known for composing Les Brown Doris Day's smash hit, "My Dreams Are Getting Better All The Time," and for composing the theme songs for Shirley Temple programs.

Source: Screen Rant