General Abdel Fattah al-Burhan pleaded with the international community in a speech to label the Rapid Support Forces (RSF), his adversaries, as a terrorist organization.
Hamdan Dagalo, the leader of the RSF, declared that he was ready for a truce.
Sudan has been involved in a civil conflict since April that has claimed hundreds of lives.
The two generals executed a coup in 2021, but recently, a power struggle between them has caused their soldiers to turn against one another.
Gen. Burhan said his party was willing to engage in peace negotiations and wanted to "put an end to this war and to alleviate the suffering of our people" but claimed the RSF refused.
Gen Dagalo, also known as Hemedti, his rival, said he was prepared to engage in negotiations in a rare video address to the UN.
The RSF's deployment across the nation, which the army, under the command of Gen. Burhan, perceived as a danger, sparked the start of the civil war in Sudan in April.
Whoever fired the initial gun is in question, but the conflict quickly spread to other areas of the nation. According to the NGO Acled, the violence has caused millions of people to be displaced and at least 7,500 deaths.
Following a coup in 2021, Gen. Burhan assumed the role of de facto ruler of Sudan. Since then, he has been traveling the globe in an effort to win over the support of other nations.
In his remarks before the UN, he also made mention of the RSF's connections to Wagner, an organization of Russian mercenaries that is active throughout Africa in places including the Central African Republic, Sudan, Libya, Mozambique, and Mali.
As these rebels have looked for backing from criminal organizations and terrorist organizations from other nations in the area and around the world, he said, "the danger of this war is now a threat to regional and international peace and security."
As a result of their "support for killing, burning, raping, forced displacement, looting, stealing, torture, trafficking in arms and drugs, bringing mercenaries, or recruiting children," Gen. Burhan further stated that the RSF should be classified as a terrorist organization.
He claimed that those offenses needed to be held accountable and punished.
Gen. Burhan, however, has additionally come under fire for his military decisions made throughout the battle.
Volker Perthes, the former UN envoy to Sudan, was harshly critical of both generals upon his retirement in mid-September, claiming that they had made the decision to start a war in their nation.
In areas under its authority, Mr. Perthes accused the RSF of being responsible for sexual assault, theft, and murder. He also denounced the indiscriminate aircraft bombings carried out by the Sudanese military.
The Sudanese military appears to view the densely populated metropolitan areas where the RSF members are ensconced as justifiable targets.
The US has already slapped sanctions on RSF commanders, including Gen. Dagalo. However, the West has also harshly criticized Gen. Burhan for his part in deposing Sudan's ruling party in a coup in 2021.