Since December, GMP said it had made 40 arrests in the area as well as seizing drugs, cash and weapons.
Flats have also been repossessed and problem tenants evicted.
Insp Meena Yasin said the new closure zone was a “revolutionary way (of using existing laws) to protect our communities in the place they call home”.
She said: “If we identify people who are entering the neighbourhood without permission or to commit crime, we can arrest and remove them.”
GMP said it had taken action following extensive consultation with the local community and Rochdale Boroughwide Housing.
To help enforce the new closure zones, police patrols will be stepped up day and night, the force said.
A spokesman said residents’ lawful day-to-day activities would not be affected.
Rather, officers “will be able to more effectively remove criminals who are loitering in the stairwells or public spaces, committing crime or anti-social behaviour”.
