Addressing an anti-narcotics programme in Matara, he said he would eliminate even the users of drugs, an exercise which he learnt from his recent tour of the Philippines.
He said the death penalty would soon be reintroduced.
There has been opposition, both locally and internationally, to the reintroduction of the death penalty.
A human rights group, iDefend, has warned him to be prepared to go before the International Criminal Court in the Hague if he did so.
Disregarding it, he accused NGOs critical of him of being linked to drug traffickers.
He said he would entrust the three armed forces, police and the civil defence force the task of curbing this national menace, in the same manner they eliminated LTTE terrorism.