According to the most recent index, that would include the Matapihi and Yatton Park areas.
Councillors debated whether there was any strong evidence that a sinking lid policy have any significant
They noted there was nothing the council could do about online gambling.
A council survey of ratepayers in 2018 came out 63 per cent in favour of the sinking lid policy.
It also gained the support of former problem gamblers and addiction services.
Several community, social and sporting groups, however, opposed the sinking lid policy as they feared it would result in a reduction in funding from gambling trusts.
By law, the trusts must put a proportion of money from gambling back into the community it came from via grants.
The new regulations will be reviewed in three years, and an assessment made of the impact on funding for community organisations.
The council's staff would also look at whether new venues would be allowed to open in growth areas, such as Te Tumu in Pāpāmoa and Tauriko.
Vaughan Cruickshank, a former council employee and problem gambler, said the decision was a "positive step".
Cruickshank, a team leader of peer support and advocacy group Junction, said the council could have gone further, such as requiring venues to have facial recognition technology.
When he was trying to give up gambling, he told his favourite haunts to stop him if he sat down to play, but none ever did when he relapsed
Facial recognition software would be much more effective he said, locking down machines when a registered problem gambler sat down.