Almost 100 house parties were broken up by police over the last week despite strict rules against indoor gatherings.
The PSNI also issued 339 £200 fines for breaches of the coronavirus regulations.
Assistant Chief Constable Alan Todd said it is "really disappointing to see that there are still people not taking the risk of this virus seriously".
"Enforcement action was taken by officers right across Northern Ireland over the past week issuing 339 Cov4 fines of £200, 96 Cov2 prohibition notices were issued in respect of house parties, and seven Cov5 penalty notices were also issued in respect of businesses continuing to operate in breach of the regulations," he said.
"It is vitally important that people take the time to understand what is and is not permitted under the new regulations, what is advised by way of guidance, and to take personal responsibility for stopping the spread of this virus.
"We will continue with our partnership approach, working closely with our colleagues at the Department of Health, Public Health Agency and the Northern Ireland Executive.
"Where people do not follow the Health Protection Regulations, our approach will remain the same - we will engage with people first explaining the guidance and the law and encourage people to do the right thing.
"However, where we are left with no choice but to enforce, we will take this measure in order to protect the most vulnerable members of our communities and help protect our NHS."
First Minister Arlene Foster said ministers will speak to police within the next few hours.
She expressed disappointment at the number of gatherings.
"Just today I was sent photographs of Portstewart and Portrush over the past couple of days and there were huge crowds gathering together and I really regret that because we have very difficult decisions to take tonight as a consequence," she said.
"It is very clear to me that we cannot keep going in the trajectory upon which we currently are, 1,801 cases today, something similar yesterday, over 2,000 the day before. We cannot keep going in this direction or our health service will fall over, it will not be able to cope with what is going on.
"In terms of compliance I have indicated that I have been disappointed by some of the actions which I have seen people being involved in.
"We will be engaging with the Police Service of Northern Ireland in the next coming hours as well to see what more we can do in relation to enforcement."
A further 1,601 positive cases were notified today as the number of new cases over seven days hit 12,507.
Hospitals remained under pressure with a 99% occupancy rate. There were 513 Covid-19 positive patients, 39 of whom were in intensive care units.
The Stormont executive is meeting this evening to discuss the possibility of further coronavirus restrictions in Northern Ireland.
First Minister Arlene Foster said she would be joining a call with the British government at 5pm to discuss the "Coronavirus response across the four nations".
"There will be an Executive meeting at 6pm immediately afterwards," she tweeted.
Deputy First Minister Michelle O'Neill said an "urgent executive meeting" had been called to discuss the "fast moving and volatile Covid situation".
"Urgent decisive action is required to respond," she added in a tweet.
