The Swedish diplomat had been travelling in southern Africa for a mission when his plane crashed, France24 reported.
The text, initiated by Sweden and co-sponsored by more than 100 countries, was adopted by consensus without a vote.
Sweden recommended the reappointment of Tanzanian lawyer Mohamed Chande Othman, who has led the investigation for several years, according to Financial Tribune.
In his last report, published in early October, Othman accused the United States and Britain of withholding information regarding Hammarskjold's death.
Only the second secretary-general in the history of the UN, Hammarskjold was killed along with 15 other people on September 18, 1961 when their plane crashed near the city of Ndola in what was then known as Northern Rhodesia, now Zambia.
At the time, he was seeking to unite Congo and stop the mineral-rich Katanga province from seceding.