The move to extend the smoking ban has been suggested as a way of protecting children from secondary cigarette smoke.
Lighting up in parks, shopping areas and beaches could also be banned under the proposals, suggested in a report.
A public consultation on the possible changes to smoking policies is due to run until 31 October.
A department spokesman said smoking was "one of the biggest causes of premature death and ill health in the island".
About 20% of the population smoke and health officials have blamed this high level of smoking for the higher than average rates of some cancers in the island. » | Monday, August 05, 2013