The story is about a youth club member, and aspiring singer, Nicky (Cliff Richard) and his friends, who try to save their youth club in London's West End from an unscrupulous millionaire property developer Hamilton Black (Robert Morley), who plans to tear it down to make room for a large office block.
The members decide to put on a variety show to raise the money needed to buy a lease renewal. The twist in the story is that Nicky is Hamilton Black's son, something he keeps secret from his friends until some of them try to kidnap Black, to prevent him from stopping the show. Although he is fighting his father over the future of the youth club, Nicky cannot allow them to harm him, so he attacks the attackers and frees his father.
Meanwhile, Hamilton Black has realised that his son is the mystery singer that all of London is talking about, after the youth club members have done some pirate broadcasts to promote their show. So, although he has just bought the theatre where the show is to take place, in order to be able to stop it, the proud father decides that the show must go on. At the end, he joins the youth club members on stage, dancing and singing, after having promised to build them a new youth club.
Cliff Richard as Nicky
Robert Morley as Hamilton Black
Carole Gray as Toni
The Shadows as the musicians
Teddy Green as Chris
Richard O'Sullivan as Ernest
Melvyn Hayes as Jimmy
Annette Robertson as Barbara
Robertson Hare as chauffeur
Sonya Cordeau as Dorinda Morell
Sean Sullivan as Eddie
Harold Scott as Dench
Gerald Harper as Watts
Rita Webb as woman in market
US title: Wonderful to Be Young!