Scunthorpe already operate a restricted smoking policy, with fans who wish to only able to light up in certain areas of the stadium.
"We have a serious and long-term commitment to encouraging a new generation of supporters to our matches, this is the latest stage in that process," said Football League chairman Sir Brian Mawhinney.
"We aim to get more families and more young fans going along to watch their local club. This will ensure that doing so does not have a negative effect on their health."