It was a response to a 2007 act which abolished the use of reasonable force by parents as justification for disciplining children, although police have the discretion not to prosecute in the use of force against a child when it is considered to be so inconsequential that there is no public interest in prosecuting.
"I do think there is a mandate from the people to change that and I do think that is something we could reasonably ask for a change."
Mr Craig said the smacking law was clearly not working because child abuse rates had not gone down.
On the questions of same-sex marriage, he said it would be "rather naive to think you are going to change the redefinition of marriage" given the overwhelming vote in the House on it in April, with 77 votes in favour and 44 against.
"The only way it would change is if it went to a referendum of New Zealanders and they said by clear majority 'change it'."
The law legalising prostitution was passed in 2003. A petition to force a citizens' initiated referendum was begun by two former United Future MPs and now Conservative Party members, Larry Baldock and Gordon Copeland, but they failed to get the requisite number of signatures.
Read more: Inside the mind of Colin Craig