Ban Ki-moon condemns Sudanese air raid on South Sudan
Mr Ban called on "the government of Sudan to cease all hostilities immediately", saying there could be no no military solution" to the two countries' simmering border dispute, BBC News said.
On Monday Sudanese warplanes dropped bombs near the South Sudanese town of Bentiu, witnesses said.
Earlier, Sudanese leader Omar al-Bashir ruled out talks with South Sudan.
Mr Bashir was speaking while visiting the oil field and border town of Heglig, which South Sudanese troops had occupied for nearly two weeks.
South Sudan says its forces withdrew from Heglig, but Sudan says it expelled them, killing 1,000 soldiers.
"We will not negotiate with the South's government, because they don't understand anything but the language of the gun and ammunition," Reuters news agency quoted Mr Bashir as telling troops on his arrival in Heglig.
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