He added that he did not say on TV on Saturday that the government would use force to disperse the protesters led by the People's Alliance for Democracy.
Speaking in his weekly live talk programme - Talk Samak Style - on NBT, he said police were instead finding a way to relocate the protesters without use of violence.
"They will use neither batons nor shields to do that," Samak said.
He said the government would instead broadcast live police operations on TVs when police are sent in to relocate the stage and other belongings of the protesters.
"We will show to the world how these people are stubborn and continue to rally although are no longer justified grounds for the demonstrations," Samak said.
On Saturday, Samak held a special live talk programme on NBT to announce that the government could no longer allow protests to go on at the Makkhawan Bridge as it affected the public.
But he said he did not use the word "disperse" at all and he did not mean that the authorities would use violence to disperse the protesters.
Samak said the media misreported him throughout Saturday so he called Interior Minister Chalerm Yoobamrung to explain the issue that the government had no plan to use force to disperse the protesters at the Makkhawan Bridge.
Samak on Sunday clarified his statement that he would instead "beg" the protesters to move to another site.
The prime minister also questioned the loyalty of the protesters, saying they were blocking the way of members of the Royal Family.
Samak said members of the Royal Family have to regularly use the road but the protesters caused them to detour the spot.
"Is it the right thing for them to make members of the Royal Family to change to use other roads? Are they Thais to do this?" Samak said.
He said he knew well that the PAD wanted the government to use force to disperse its rally to catch attention of international human rights organization.
Samak alleged that ASTV satellite-TV of Sondhi Limthongkul, a PAD leader, reported throughout Saturday that the government would use force to end the rally and invited the people to come out at the rally site at the Makkhawan Bridge.
"They want the government to make a raid while there were a lot of protesters to capture the attention of the United Nations. But I don't fall for that," Samak said.
He said the PAD challenged the government to make arrests with goal to incite unrest in the country.
"They ultimately want the government to collapse but I would like to ask what's next. Whom they want to become the government next," Samak said when one of his audience asked him during the programme whether it was illegal for the protesters to rally on roads.
During the programme, Samak read several questions that attacked the PAD protesters.
"Will the prime minister allow the PAD to remain above the law?" Samak read a question.
"The government should take decisive actions against the protesters," Samak quoted another audience as sending him a message.
"Is Somkiart Pongpaibool still a Democrat Party MP? If so, why did he join the rallies to cause trouble to the country?" another audience was quoted by Samak as saying.