This is contained a statement signed by the Acting Executive Secretary of the council, Mr Nnamdi Njemanze, on Monday in Abuja.
It also called on the military to relate with the press within the permissible democratic channels of the court whenever the need arose.
It expressed concern over the recent stoppage of distribution of some newspapers and harassment of vendors in the country.
According to the statement, the council appreciates the explanation of the Ministry of Defence that the action is due to security challenges in the country.
“We advise that the military should avoid any action that could cast our democracy in bad light or be misconstrued as muzzling of the press.
It advised all parties to exercise restraint and work together to help create the necessary atmosphere for peace and resolution of the country’s security and development challenges. (NAN)