His elder daughter lit his funeral pyre at the crematorium in front of Modi, President Draupadi Murma, Vice President Jagdeep Dhankhar and senior members of Singh’s Congress Party.
Foreign dignitaries such as King Jigme Hesar Namgyel Wangchuck of Bhutan and Minister of Foreign Affairs of Mauritius Dhananjay Ramphool were also present.
Singh received all state honors in a ceremony that included a 21-gun salute.
Following his death on Thursday night, the government declared seven days of national mourning.
Paying tribute shortly after his death, Modi said Singh’s “wisdom and humility” were always evident during their interactions and that he had “put in a lot of effort to improve people’s lives” as prime minister.
Opposition Congress leader Rahul Gandhi, who also attended the funeral, said he had lost a “teacher and guide”.
Among foreign honors, US President Joe Biden said his country’s “unprecedented level of cooperation” with India would not have been possible without Singh’s “strategic vision and political courage”.
“He was a real statesman. Dedicated civil servants. And above all, he was a kind and humble man,” Biden said in a statement.