Christian Solidarity Worldwide (CSW) has joined 35 African and international NGOs and individuals to call on Permanent Representatives of Members and Observer States at the United Nations Human Rights Council (UNHRC) to take stronger action.
The group have issued a letter outlining their concerns.
They're pushing for a Special Rapporteur to monitor and report on human rights violations and recommend concrete ways of ending the abuses.
Sudan has been criticised by the global community for a number of abuses against Christians in particular.
There was outcry after Mariam Ibrahim was sentenced to death because of her Christian faith and then released.
She was arrested when she was pregnant and gave birth to a girl in prison on May 2014.
Meriam Ibrahim was born to a Muslim father, but was raised by her Christian mother and married a Christian man.
She was sentenced to death for committing apostasy from Islam on the grounds she did not follow the faith of her absent father.
Since December 2015 there has also been an increase in detentions of church leaders and Christians.
CSW's Chief Executive, Mervyn Thomas, said: "We urge the Permanent Representatives of Members and Observer States at the United Nations Human Rights Council to take serious action in response to the deplorable human rights situation in Sudan.
"The reports of severe violations from every part of the country are serious enough to warrant the strengthening of the mandate and the appointing of a Special Rapporteur.
"The targeting of civilians in South Kordofan, Blue Nile and Darfur, the restrictions on civil and political rights, including on freedom of religion or belief, and the harassment of civil society, and human rights defenders are deeply concerning.
"We call on the Council to adopt a resolution that addresses the realities on the ground."
