In an open letter issued in Geneva, the seven investigators and academic legal experts, said publication of the report by a Senate committee would be welcomed by victims of torture and their supporters everywhere.
Among the signatories were the world body's special rapporteurs for torture and for freedom of expression.
"As a nation that has publicly affirmed its belief that respect for truth advances respect for the rule of law, and as a nation that frequently calls for transparency and accountability in other countries, the United States must rise to meet the standards it has set both for itself and others," the open letter declared.
The Senate committee spent four years investigating waterboarding and other CIA practices used against terrorism suspects during the administration of former president George W. Bush. In April, it approved its report for release.
But the document has not yet been published, largely because of CIA demands that it be edited to obscure names and patterns of behavior that were crucial "in the system of violations that needs to be understood and redressed," the open letter said.
The investigators, including one American and three Latin Americans who work at U.S. universities and cover areas like torture, arbitrary execution and freedom of expression, said other countries were closely watching the issue.
"Victims of torture and human rights defenders around the world will be emboldened if you take a strong stand in support of transparency," they told Obama.
"On the contrary, if you yield to the CIA's demands for continued secrecy on this issue, those resisting accountability will surely misuse this decision to bolster their agenda in their own countries," the seven added.