The Prime Minister said he would agree to a suspension of sanctions against Burma during a historic visit to the former colony
The democracy activist Aung San Suu Kyi lived in the UK before becoming the head of the Burmese opposition movement.
Early this morning David Cameron will set foot in a country no British Prime Minister has visited for more than six decades.
Shadow foreign secretary Douglas Alexander said he would support the lifting of sanctions against Burma.
– Shadow Foreign secretary Douglas Alexander
All of us will feel pride and excitement that progress towards more democracy in Burma is now being made, given that so many people within and beyond the country have worked so long and so hard for change.
The sequenced lifting of sanctions along with careful monitoring of developments in Burma is a sensible way forward to help strengthen the hand of reformers."
Aung San Suu Ki said she was always prepared to "take calculated risks" in her political career.
Speaking at a joint conference with Prime Minister David Cameron she tentatively accepted an invitation from Prime Minister David Cameron to visit Britain. She said:
"Two years ago, I would have said thank you for the invitation but sorry. Now I am able to say perhaps. That is great progress."
The Prime Minister's recommendation to suspend sanctions against Burma is just that - a recommendation.
A final decision will not be announced until April 23rd when EU foreign ministers meet to discuss the sanctions.
But that should not detract from what was a momentous occasion - the first time a British Prime Minister has visited the country for 60 years.
The Prime Minister joined Aung San Suu Kyi in giving an address at the house where she was confined for many years:
The Prime Minister held a 15-minute meeting with the Burmese opposition leader Aung San Suu Kyi earlier today:
Aung San Suu Kyi thanked Britain and other overseas governments for their support during a joint press conference with David Cameron:
They have always understood our need for democracy, our desire to take our place in the world and the aspirations of our people. We have always shared the belief that what is necessary for Burma is an end to all ethnic conflict, respect for human rights - which would include the release of political prisoners - and the kind of development aid which would help empower our people and take our country further towards the road to genuine democracy.
She said she hoped she would be able to visit her former home town of Oxford at some point in the future.
Aung San Suu Kyi said at a joint press conference with the Prime Minister:
We still have a long way to go but we believe we can get there. I believe [Burmese] President Thien Sein is genuine about democratic reforms and I am very happy that Prime Minister Cameron thinks that the suspension of sanctions is the right way to respond to this. I support the suspension, rather than the lifting, of sanctions because this would be an acknowledgement of the role of the president and other reformers.
Aung San Suu Kyi has said she supports Mr Cameron's decision: "I support the suspending rather than the lifting of sanctions." She said that it would send a message to the Government that the work of reforming the political system is not complete.