Speaking to reporters after the weekly Cabinet meeting, Samak said he had received a police report that Daranee Charnchoengsilpakul, better known as Da Torpedo, attacked the highest institution while joining a demonstration at Sanam Luang against the People's Alliance for Democracy.
Samak said police would take legal action against her.
"The person violated the laws with her words, which affected several institutions. I ordered police to take action against the person immediately," Samak said.
Earlier, the Army filed a complaint with police to take legal action against Daranee for having attacked the highest institution while speaking on stage of the Democratic Alliance Against Dictatorship.
Pol Maj Gen Amnuay Nimmano, commander of Metropolitan Police Division 1, said Dararnee allegedly made statement in contempt of the highest institution on the DAAD stage at Sanam Luang on Thursday and Friday.
Amnuay said the South Bangkok District Court approved an arrest warrant against her and she was arrested by Chana Songkram police in Phaholyothin area Tuesday.