Olympic leaders stood in silence on Friday at their ongoing meeting in Singapore in memory of those killed and injured in the London bomb blasts.
The International Olympic Committee (IOC) reaffirmed the blasts would not affect the decision made on Wednesday to award the 2012 Games to London.
President Rogge told members: "The IOC was appalled by the barbaric attack.
"It has sadly proved there is no safe haven and that security must remain the priority whenever Olympics are staged."
Rogge had already sent letters of condolence to British Prime Minister Tony Blair and London Mayor Ken Livingstone.
Thursday's bomb attacks came less than 24 hours after London had won the vote to host the 2012 Games.
IOC communications director Giselle Davies said it was not thought the attacks had any link to the Games.
"Security is one of the 17 themes of evaluating the Olympics and we have full confidence in the London authorities for a secure Olympic Games," she said.
Britain's Olympic chief Craig Reedie insisted the attacks would not stop London hosting "an excellent Games".
Reedie, chairman of the British Olympic Association, said: "I can assure you that when we return to London these terrible acts will in no way reduce our resolve to run excellent Olympic Games in 2012.
"The worst thing to do is to concede anything to these people."
Mr Livingstone, speaking from Singapore before flying back to the UK, said Londoners would not be divided by a "cowardly attack."
"I told the IOC that this city of London is the greatest in the world because everyone lives side by side in harmony," he said.
"Londoners will stand together in solidarity around those who have been injured and those that have been bereaved, and that is why I'm proud to be the mayor of the city.
London 2012 chairman Sebastian Coe expressed "shock and sadness" at the attacks.
"The entire staff of the London 2012 team are shocked and deeply saddened by the tragic events in London," he said.
"Our thoughts are with the families of the bereaved and all those who have been injured in these despicable terrorist attacks."
London defeated Paris in the final round of IOC voting for the 2012 Games, after Madrid, Moscow and New York were eliminated.
Henri Serandour, head of the French Olympic committee and one of the leaders of the Paris bid which lost out to London, said: "Now we all feel like Londoners. It's terrible - we are all in mourning."