A similar proportion (78 per cent) wanted parents to stop smoking during car journeys with them and four out of ten said cigarette smoke made them feel ill or cough.
Almost all of those surveyed (98 per cent) wanted their parents to quit smoking.
The latest survey comes as the government launches a national TV campaign on the dangers of second-hand smoke.
Health Secretary Andrew Lansley said: "We all know smoking kills but not enough people realise the serious effect that second hand smoke can have on the health of others, particularly children.
"This campaign will raise awareness of this danger and encourage people to take action to protect others from second hand smoke."
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