The Queen is to give a speech to both Houses of Parliament as MPs and peers honour the monarch with the presentation of a Diamond Jubilee Window.
The historic address was also made when the sovereign celebrated her Golden Jubilee in 2002 and Silver Jubilee 25 years earlier in 1977.
The Queen's visit to Westminster Hall began with Lord Speaker, Baroness D'Souza, presenting the address from the House of Lords and House of Commons Speaker, John Bercow, making a similar speech from the Commons.
After the speeches have been read, the Diamond Jubilee Window - a gift from the members of both Houses - will be unveiled to mark the monarch's 60-year reign and the Queen will reply to the addresses.
The window will be in a display case and will be installed above the North Door of Westminster Hall later this year. Artist John Reyntiens has created the new three-panelled stained glass Diamond Jubilee window, which is based on the royal coat of arms.
The MPs and peers gathered in Westminster Hall were joined by Prime Minister David Cameron and his predecessors, Gordon Brown and Tony Blair. Also in the audience was the Archbishop of Canterbury, Dr Rowan Williams, who has just announced plans to retire.
The Queen was wearing a pale buttercup-yellow dress with flower motifs in shades of olive, lavender and pale burgundy by Karl Ludwig. Her coat was also in buttercup, with wool crepe and she wore a matching hat by Angela Kelly.
She said: "History links monarchs and Parliament, a connecting thread from one period to the next. So, in an era when the regular, worthy rhythm of life is less eye-catching than doing something extraordinary, I am reassured that I am merely the second Sovereign to celebrate a Diamond Jubilee."
The Queen thanked the peers and MPs for the present and said: "Should this beautiful window cause just a little extra colour to shine down on this ancient place, I should gladly settle for that."
In his introductory speech, Mr Bercow praised the Queen for "Sixty years of stability. Sixty years of security. Sixty years of certainty. Sixty years of sacrifice. Sixty years of service." He said: "If, as Gandhi asserted, 'the best way to find yourself is to lose yourself in the service of others', then Your Majesty must have found yourself countless times over the past decades."