"We should conclude expeditiously the Comprehensive Convention on International terrorism," Dr Singh said in his address which coincided with his 76th birthday.
He warned that growing assertion of separate identities and ethnic, cultural and religious intolerance threatens developmental efforts as also peace and stability.
New Delhi's concerns over growing terror threats were highlighted by the prime minister against the backdrop of serial blasts in Delhi, Ahmedabad, Jaipur and Bangalore.
Seeking 'meaningful' reforms of the UN, Dr Singh regretted that 'little progress' had been made on the core elements of the reform agenda of the world body.
"The composition of the Security Council needs to change to reflect contemporary realities of the 21st century," he stressed.
"It is only a truly representative and revitalised United Nations that can become the effective focal point for the cooperative efforts of the world community. We need to expeditiously hold negotiations in this regard," he said.
Also read: Dr Singh meets world leaders
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