Sudan has promised to cease hostilities with South Sudan and comply with a UN Security Council resolution.
However the foreign ministry also said that Khartoum reserved the right to respond to "aggression" from the South.
The statement came hours after Juba alleged fresh bombing by the Khartoum government's forces.
A UN resolution on Wednesday backed an African Union plan demanding both sides cease hostilities, amid fears of an all-out war between the neighbours.