Councillors agreed to look at "progressively extending" the present smoke-free zones in its Smokefree Recreation Policy 2009.
They encourage the zones through signage, mainly in places where children frequent, like playgrounds and sportsfields, but it isn't enforceable by law.
The network said more smoke-free areas would reduce the effects of second-hand smoke, help prevent young people from taking it up, support people trying to quit and reduce the environmental impact of cigarette butts.
Second-hand smoke kills about 350 people a year.
Masterton Mayor Lyn Patterson, who smokes, said she supported the idea.
"We shouldn't be smoking in areas where [non-smoking] people are exposed to second-hand smoke."
She said the council's intention was to encourage people not to smoke.
"There still must be areas where people can have a cigarette."
Mrs Patterson said she expected the policy would be looked at this year as it is due for a review.
Ms Cohr said the network had canvassed people in Masterton one lunchtime and found many in support. Even some smokers were supportive, particularly those trying to quit, she said.
"It's not just to prevent second-hand smoke, it is also the fact that smokers who see other people smoking, it's a trigger for them. We hear all the time about how smokers want to quit, we need to help them."
According to 2013 Census data, the number of Masterton people smoking has reduced since the last Census in 2006.
But 3348 people, or 18 per cent of the town's population still smoke, higher than the national average of 15 per cent.
Only one council in New Zealand, Wanganui District Council, has a bylaw which bans smoking in parks.
If breached, smokers can be fined up to $20,000.
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