"The exact amount of the pledges are being calculated," said the secretary general, adding: "This is the largest humanitarian conference in the history of the United Nations."
Kuwait's deputy foreign minister Sheikh Sabah Khaled al-Sabah said that "the door is open for countries that have not donated to do so".
The conference opened with a pledge worth $300 million from Kuwait, followed by similar promises from Saudi Arabia and the United Arab Emirates.
Its initial aim was raising pledges of about $1.5 billion to provide aid to around five million people affected by Syria's 22-month conflict.