The Duke of Cambridge has called for an end to the "stiff upper lip" culture within British society.
Prince William says he wants his children, Prince George and Princess Charlotte, to be able to talk about their emotions.
His comments come after Prime Minister Theresa May praised his brother Prince Harry for his bravery in revealing he sought counselling to come to terms with the death of his mother Princess Diana.
William also highlighted the importance of role models opening up about their mental health.
"Catherine and I are clear we want both George and Charlotte to grow up feeling able to talk about their emotions and feelings," he told a British mental health charity.
"Over the past year we have visited a number of schools together where we have been amazed listening to children talk about some quite difficult subjects in a clear and emotionally articulate way, something most adults would struggle with.
"Seeing this has really given me hope things are changing and there is a generation coming up who find it normal to talk openly about emotions."
Harry, who was 12 when Diana was killed in a car crash in Paris, said in a podcast interview at the weekend that it was not until his late 20s that he processed his grief.
Harry said he spent nearly 20 years "not thinking" about her death and eventually got help after two years of "total chaos".
British Prime Minister Theresa May said his decision to speak out would help "smash the stigma around mental health."
"Mental health problems affect people of all ages and all backgrounds," May said.
"The bravery of those in public positions who speak out about their experiences helps smash the stigma around mental health and will help thousands of people to realise they are not alone."