Mr Robinson said those behind days of unrest were playing into the hands of dissident republicans.
Last night ten police officers were injured in East Belfast during a demonstration against the decision to reduce the number of days the union flag is flown from Belfast city hall.
Mr Robinson said: "The violence and destruction visited on the PSNI is a disgrace, criminally wrong and cannot be justified.
"Those responsible are doing a grave disservice to the cause they claim to espouse and are playing into the hands of those dissident groups who would seek to exploit every opportunity to further their terror aims."
He said some demonstrators were employing language borrowed from the republican handbook to demonise police and undermine the DUP through a call for direct rule from London.
"All right-thinking unionists will want to channel their energies into political activity and to support the cause of finding political solutions to the problems that we face," Mr Robinson said.