Two out of three respondents, or 68 per cent, said they would.
"Politicians probably hoped that the opposition to the anti-smacking law would eventually disappear, but this poll simply reiterates that the law is being disrespected and flouted, and is seen of no real value," said Family First national director Bob McCoskrie.
A spokeswoman for Justice Minister Judith Collins said there were no plans to review the law "as the justice sector is focused on other priorities".
Anthea Simcock, chief executive for advocacy group Child Matters, did not want to see the law changed.
"The current act makes it quite clear that hitting children as a correctional action is not acceptable and that people cannot hurt a child and then claim as a defence that they were using 'reasonable force'."
The poll
Should the current law be amended to specifically state that "parents who give their children a smack that is reasonable and for the purpose of correction are not breaking the law"?
77 per cent Yes
18 per cent No
5 per cent Unsure/refuse to answer
Has the anti-smacking law had had any effect on the rate of child abuse?
77 per cent No
12 per cent Yes
11 per cent Unsure/refuse to answer
Would you still smack your child to correct behaviour if you thought it was reasonable, despite the current law?
68 per cent Yes
27 per cent No
6 per cent Unsure/refuse to answer
Source: Curia Market Research