He was speaking at the official opening of a social economy project in Co Down which supports people recovering from drug and alcohol abuse.
Eden Village, nestled in the village of Ballywalter on the Ards peninsula, was created by the anti-drugs charity FASA and its volunteers to offer addicts a way of integrating back into society.
Speaking to UTV at the centre, the DUP Minister had a strong message for those peddling drugs to the community.
"There are organisations, including people who claim to be great Irish men and people who claim to be great Ulster men, who are allowing these drugs to be dealt in their communities, who are facilitating the dealing of these drugs in their communities.
"And I would suggest that they are neither great Irish men nor great Ulster men but they are actually a leech upon our society.
"We need to clamp down on drug abuse and we need to clamp down on drug dealers and we need to ensure that the supply is closed off and we need to help people come off drugs," Minister Poots continued.
It comes as police investigate at least 12 unexplained deaths across Northern Ireland, which may have been linked to drugs.
Substance abuse and alcohol abuse is a major problem right across Northern Ireland.
Mr Poots said: "We are seeing over 100 people dying each year as a consequence of it.
"Those people who actually facilitate drug abuse by supplying drugs and making money off the backs of vulnerable people are leeches on our society. They are not welcome in our society.
"We need to ensure those people are reported to the police and they are brought before the courts of Justice," he said.
The DUP minister said that family break-up, suicide and substance and alcohol abuse were all linked.
"It's important that we have organisations like FASA carrying out this work."
Speaking on the creation of Eden Village, Sam McCullough, from the addiction organisation, said: "We took on this project about three years ago and it was a derelict building when we took it over."
The charity had a vision of creating a recovery centre - a vision that involved those recovering every step of the way.
Facilities at the centre include counselling services and complementary therapies as well as a coffee shop, garden centre and a space selling furniture up-cycled by the project's members.
The process of transforming the building and its grounds, has transformed lives - and FASA hopes the model can be rolled out across Northern Ireland.
"It's not just about giving people services on their own, it's about letting them work with other people - letting them engage in those activities alongside other people."
He said that everyone working together helped reduce the stigma about addiction in the community.
As well as providing ongoing support - the project is also targeted at the prevention and early detection of drug and alcohol misuse and wider mental health issues.
Adrian Izett was introduced to FASA by a social worker while in detox for what he described as "a serious alcohol problem."
"It just came to the point where I had enough - something had to be done. I had to change my ways because mentally and physically I wasn't in a good place."
When Adrian contacted the charity, he admitted that he didn't think that anything could be done for him.
"I just didn't think my ways could be changed," he confessed.
However, he was introduced to the holistic therapy, acupuncture, which he said over time reduced his anxiety levels and made him look at life differently, more clearer.
"It was the way they treated me - FASA- like a human being - no labels, no stigma attached."
Adrian told UTV that for him and many others, Eden Village is "just like one big family."