Mr Bashir, who says the accusations are lies, is accused of genocide, crimes against humanity and war crimes in Darfur.
Judges at the International Criminal Court (ICC), an independent body, are yet to decide if there are reasonable grounds to issue an arrest warrant against Mr Bashir.
The president's most senior adviser, Dr Ghazi Salaheddin, told the BBC that his country did not recognise the jurisdiction of the court and would rally support among allies in an attempt to block proceedings.
Efforts to indict a sitting head of state would set a dangerous precedent, he said.
The President and government officials defiant in Khartoum
Allegations of genocide by the prosecutor were designed to generate hostility between tribal groups in Darfur, Mr Salaheddin said, adding that an international commission recognised by the UN had already dismissed such claims.
Mr Salaheddin denied that the government of Sudan was blackmailing the international community by failing to provide security guarantees for peacekeepers and humanitarian staff.
However, he also said that if the ICC pursued the case it could jeopardise relations between Sudan and the UN.
The UN - which has no influence in the region - runs large-scale humanitarian operations in the region and has thousands of peacekeepers in Darfur as part of a joint mission with the African Union.
African Union dilemma
Elsewhere, China said it was concerned about the ICC's decision to seek the arrest of Omar al-Bashir.
ACCUSATIONS AGAINST BASHIR
Killing members of the Fur, Masalit and Zaghawa ethnic groups
Causing these groups serious bodily or mental harm
Inflicting conditions of life calculated to bring about these groups' physical destruction
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