They're trying to explain that their father is still in control and that talk of violence there is exaggerated.
In fact, there were no reports of violence Sunday.
But anti-government forces in a city near Tripoli deployed tanks and anti-aircraft weapons, anticipating an attack by the government and a council was formed to help fill the power vacuum in the country.
Crowds desperate to get out of the country lined up near the Tunisian border. British and German military planes rescued hundreds of civilians and oil workers stranded at remote sites.
One of Ghadafi's sons told ABC's Christiane Amanpour that the country is calm and the family isn't leaving.
Saif El-Islam Gadhafi also denied reports that the government has been attacking civilians.
"The most important issue for us is, show me a single evidence that the Libyan army or the Libyan government bombed civilians and demonstrations and using air force and bombs or artilleries or helicopters or whatever," Gadhafi said.
President Barack Obama's administration offered what it called "any kind of assistance" to the people of Libya.
Revolution rumbles in countries near Libya
Throughout that region, there are growing signs of revolutions and calls for reform.
In Tunisia, Prime Minister Mohamed Ghannouchi resigned Sunday amid renewed violence during protests there.
This comes after weeks of public upheaval that drove the president from power last month.
On the island nation of Bahrain, nearly two weeks of demonstrations against the kingdom's rulers show no signs of easing.
On Sunday, tens of thousands of anti-government protesters are streaming through Bahrain's diplomatic area and other neighborhoods.
In Oman, a police official says at least one person has been killed in clashes between security forces and hundreds of protesters demanding political reforms.
In Saudi Arabia, more than 100 leading academics and activists have called on the king to enact sweeping reforms in the oil-rich nation, including setting up a constitutional monarchy.
