ACT police said officers conducted 3955 traffic checks, more than 900 checks of people and businesses in the past week.
They said they issued 11 infringements and 17 cautions for breaches of health directions.
Detective Superintendent Naomi Binstead urged people to keep up the good work and not become complacent as rules change.
"We know lockdown is hard and we are urging people not to become complacent or adopt an 'it will be right' attitude. We need to keep up all the good work everyone has put in so far so we can continue to keep positive cases in our community low," Ms Binstead said.
"It's still not OK to have visitors to your home. It's not ok to visit closed reserves. Trips should still only be taken for essential purposes. You must check-in and remember, with a few exceptions, masks must be worn whenever you leave home.
"We will be continuing our compliance activities and will not hesitate to issue infringements or arrest people who are in breach of health directions. Everyone has had more than enough time to be aware of the rules and to be able to stick to them."
Meanwhile, ACT Policing have said about 40 vehicles were found parked in closed reserves along the Cotter Road and Paddy's River Road on Saturday, leading to 100 police directions that day.
In most cases people had ignored clear signage indicating the closure, ACT police said.
"The people present were asked to move on by ACT Policing Rural Patrol officers and ACT Parks officers with 100 directions given to move on," they said in a statement.
Closed parks and reserves
- Namadgi National Park (including the visitors centre)
- Tidbinbilla Nature Reserve (including the visitors centre)
- Lower Cotter Catchment, Cotter precinct (including Cotter Campground and Blue Range)
- Kambah Pool
- Uriarra Crossing
- Woods Reserve Campground
- Northern Borders Campground
- Googong Foreshores
