"The protest should not be escalated into violence and the situation should not go beyond this as the country will be tarnished and damaged," Anupong said.
Security concern was heightened as protestors moved from Democracy Monument to Makawan Bridge near the Government House on Sunday night.
PAD protesters on Monday submitted a petition to the House Speaker to withdraw MPs and senators who supported the charter rewrite.
The protesters led by PAD clashed with pro-government protesters on Sunday night, resulting in several injuries of both sides.
Anupong said it was not duties of the army, but police, to handle the protest.