Speaking during Prime Minister’s Questions Cameron said that he was sure the announcement would be ‘welcomed right across the house’.
The plans form part of a weekend of national celebrations to mark the monarch's official birthday.
Kate Nicholls, chief executive of the Association of Licensed Multiple Retailers (ALMR) said: “This is a sensible move to allow pubs and bars to join in with a national celebration and will alleviate the need for many costly and time-consuming Temporary Event Notices.”
The extended opening hours will also coincide with Wales and England’s first football matches of the 2016 European Championships on 11 June.
Brigid Simmonds, chief executive of the British Beer and Pub Association (BBPA), said: “It is great news that the Government is taking this forward. I had written to the Home Office requesting that pubs can stay open to mark this momentous milestone for the Queen.
“On great national occasions such as this, pubs are the perfect place for people to come together and celebrate.”
Historically pubs, restaurants and hotels have benefited from a boost in trade during royal events, with some pub groups reporting record sales during the Queen's 2012 Diamond Jubilee.
The Queen celebrates two birthdays each year: her actual birthday on 21 April and her official birthday, which falls on 11 June this year.