International Development Secretary Douglas Alexander has urged Burma's rulers to uphold a pledge to give "full and unfettered" access to aid workers.
Speaking at a conference in Rangoon to discuss Burma's humanitarian crisis he told the junta: "You will be judged not by your words but by your actions."
The military leaders have promised to allow all aid workers into the country, but there has been little movement.
Some 78,000 people were killed and 2.5 million affected by the 2 May cyclone.
The conference on Sunday involves the United Nations and the Association of South East Asian Nations (Asean).
"We need to accelerate the efforts of the UN and Asean to get aid to those that need it - that means planes and helicopters in the air, trucks on the roads and boats on the rivers"
Over the weekend, UN Secretary General Ban Ki-Moon said senior Burmese General Than Shwe had agreed to allow all aid workers into the stricken country "regardless of nationality".
Speaking at the conference Mr Ban said: "I hope this marks a turning point in tackling the challenges facing this country."
But the relief effort could last for six months, he warned.
Mr Alexander told the conference: "We need to accelerate the efforts of the UN and Asean to get aid to those that need it - that means planes and helicopters in the air, trucks on the roads and boats on the rivers.
"I have therefore urged John Holmes - the UN Emergency Relief Co-ordinator - to use his briefing to the UN Security Council on Tuesday to update on both the desperate conditions that prevail in the Irrawaddy Delta and the promises that have been made by the Myanmar authorities.
"I have travelled here to Rangoon at the request of the United Nations Secretary General to press the regime to allow full and unfettered access for international aid workers.
"I have told the Burmese ministers that I have met: 'You will be judged not by your words but by your actions'.
"And action is what the world will be looking for in the days and weeks ahead."
The Department for International Development (DFID) is to send 11 flights to the region carrying much-needed materials for families that lost their homes in the disaster.
Oxfam International Director Penny Lawrence said the situation in parts of the country was still "desperate".
But the decision to allow aid workers into the country, even at this late stage, would still be of great help, she said.
She explained: "It is late, but it is not too late because there is still so much we could do."
The UN estimates that only a quarter of the 2.5 million Burmese affected by the cyclone have received the help they need.
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