David Cameron has arrived in Canada for his first international summit as prime minister, calling for them to be "more than just grand talking shops".
Mr Cameron said they should be tightly focused on key priorities.
Political leaders from the G8 are meeting in Muskoka, Ontario on Friday to discuss trade, aid and maternal health in the poorest countries.
The G20 group of nations gather in Toronto on Saturday, with the global economy on the agenda.
Mr Cameron, writing in Canada's Globe and Mail newspaper, called himself the "new kid on the block".
He said there should be "fresh thinking and renewed political leadership" on issues like trade, aid and the global economy, and said the summits should focus on delivering concrete results.
"Too often, these international meetings fail to live up to the hype and the promises made. Good intentions are shared in productive talks.
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I believe we must each start by setting out plans for getting our national finances under control
David Cameron
UK Prime Minister
World 'cannot rely as much on US'
"Then, somehow, those intentions rarely seem to come to fruition in real, tangible global action. When we meet again a year later, we find things haven't really moved on," he wrote.
He said the "the biggest promise" to deliver was fixing the global economy.
"The question is how we will deliver. Of course, there must be the flexibility for countries to act, taking account of their own national circumstances.
"But I believe we must each start by setting out plans for getting our national finances under control."
His comments came as US Treasury Secretary Timothy Geithner told the BBC that the world "cannot depend as much on the US as it did in the past".
Mr Geithner said that other major economies would have to grow more for the global economy to prosper.
The US and Europe would take "different paths, at a different pace" in order to reach the common goal.
"It's going to require different things as we have different strengths and weaknesses," he said.
High-level talks
Mr Cameron will meet US President Barack Obama, Russian President Dmitri Medvedev and Chinese Premier Hu Jintao later and is expected to hold one-to-one talks with President Obama on Saturday.
It will be his first meeting with the president since taking office last month and is likely to be dominated by the military campaign in Afghanistan and BP's continuing efforts to stop the oil spill in the Gulf of Mexico, following the fatal explosion on the Deepwater Horizon oil rig.
The two leaders are expected to reaffirm their commitment to Nato's strategy in Afghanistan despite the sacking of its top military commander in the country, Gen Stanley McChrystal, for criticising White House officials.
In a phone call on Thursday, No 10 said Mr Cameron had impressed on the US president the determination of Lt Gen Nick Parker, the British officer who has taken acting command of operations, that the mission should not "miss a beat" during this period.
Mr Cameron met Navy personnel on board HMS Ark Royal
The G20 meeting is expected to focus on efforts to support growth in the global economy while reducing national deficits as well as individual countries' proposals for bank taxes.
Before heading to Toronto, Mr Cameron met British servicemen and women aboard the HMS Ark Royal, which is taking part in an international fleet review in Nova Scotia.
The prime minister paid tribute to troops who had lost their lives in Afghanistan and reiterated his commitment to renewing the military covenant - the duty of care that the government has to support the armed forces and their families.
"I want all of these things refreshed and renewed and written down in a new military covenant that we write into law so we show how we stand up for our armed services," he said.
"I want our military once again to be front and centre in our national life."