Mr Chaturon's message criticising the independent organisations was posted on his Facebook page.
He said the agencies set up under the constitution had played a big part in causing the country to descend into ruin.
Some of these agencies had not performed their duties honestly and justly, but acted indiscriminately as they wanted to.
"The problem is that they have departed from their line of duty. They have tried to interfer in the country's political affairs by intentionally misusing their authority over professional ethics to achieve their political objectives," Mr Chaturon wrote.
"This (latest) attempt to interfere in politics may cause even more damage than before," he added, referring to a plan by a number of independent agencies to mediate talks between the government and the PDRC and propose a roadmap for the country to get out of the political impasse.
Originally seven independent agencies were to jointly try to mediate talks between the government and the PDRC. However, the Office of the Attorney General had withdrawn.
The six agencies remaining are the Election Commission, the Office of the Ombudsman, the National Anti-Corruption Commission, the State Audit Commission, the National Human Rights Commission and the National Economic and Social Advisory Council.