The move comes after an increase in syringe finds.
The Belfast Telegraph reported the "sharps disposal boxes" will be placed in public toilets in Belfast.
The first box was installed in the Dublin Road at the end of 2014. Since then, five more have been put in public toilets.
They are in Custom House Square, Winetavern Street, Lombard Street, the Ormeau Road and the Antrim Road.
When all six are rolled out, 12 of the 14 public toilets in Belfast will have sharps disposal facilities.
The needle bins are small silver plaques sited on the wall with the words "sharps disposal" on them.
There is a hole in the middle to allow people to dispose of used needles in a secure container.
The issue was raised at a meeting of the People and Communities Committee in April.
The council minutes said the increase in boxes was down to an increase in sharps finds.
It said that the BBC had reported that the Council's "Needle Exchange Programme" witnessed an increase in visits in four years, from 7,500 to just under 15,000.
Following this increase in sharps finds, the council "liaised with their contracted service providers and other public bodies on an ongoing basis to take measures to counteract this behaviour".
The council said that work is ongoing to install the remaining six boxes throughout 2017-2018.

Waheed Ahmed has been detained along with eight other Britons in Hatay near the Syrian border since Wednesday, 1 April.
Footage released on Sunday shows him being put on a coach to Antalya, which is 509 miles west of Hatay.
The group of nine from Rochdale included five adults and four children.
His father, Rochdale Labour councillor Shakil Ahmed, said he "wanted his son to come home as soon as possible".
Simon Danczuk, the MP for Rochdale in the last Parliament, has confirmed after speaking to the Foreign Office that Mr Ahmed is being deported back to Britain.
In footage released by Reuters, Mr Ahmed is seen  leaving a police station in Hatay.
He is then filmed getting on a coach to Antalya from where it is believed he will fly to the UK.
Greater Manchester Police and the North West Counter Terrorism Unit have launched an investigation to establish why the group apparently tried to enter Syria.
All nine would be sent back to the UK "in due course", police said.
Assistant Chief Constable Ian Wiggett has said that the primary concern was the "safety and welfare" of the children, and efforts were being made to ensure a "full safeguarding strategy" was in place upon their return.
Police have been searching his family home in Rochdale.
His father said he had thought his son was on holiday.
In a statement Councillor Shakil Ahmed said:  "My son is a good Muslim and his loyalties belong to Britain, so I don't understand what he's doing there.
"If I thought for a second that he was in danger of being radicalised, I would have reported him to the authorities.
"He's studying a degree in politics and sociology at Manchester University and has a good future ahead of him."
Belfast City Council has said it plans to install six more needle bins to allow injecting drug users to safely dispose of used syringes.
[NEXT_CONCEPT]
A Labour councillor's son, held in Turkey on suspicion of trying to enter Syria illegally is expected to return to the UK.