The Duke of Cambridge said he was looking forward to having children but admitted it was strange reading speculation about whether his wife, Kate Middleton, is pregnant.
In an interview with American news channel ABC ahead of the Queen's Diamond Jubilee, Prince William also revealed that one of his regrets is that his mother Diana, Princess of Wales, will never meet his wife.
Diana was killed in a Paris car crash in 1997, four years before William met the Duchess of Cambridge at St Andrews University where they both studied.
The couple wed in a glittering ceremony at Westminster Abbey last April and the duke said it was difficult getting married without his mother with him.
The Prince also remained tight-lipped about the prospect of having a child in the near future but said both he and Kate wanted a family.
When pressed if there was any news he would like to share, William said: "You won't get anything out of me. Tight-lipped."
William also said he was still deciding if he would take another tour or duty with the Royal Air Force, or leave the military to assume royal duties full time.
The Prince said the prospect of getting married in front of two billion people was "daunting".
But he added that he managed to stay calm thanks to some "very bad jokes" between him and Prince Harry.
William said he looked to the example of his grandfather the Duke of Edinburgh for help with married life.
Asked by ABC broadcaster Katie Couric if he was worried he would not be able to measure up to the Queen's example, William replied: "Constantly."