The first task for the group would be to make itself known, Mr Cox said.
"We are not just a bunch of whingers after a fast dollar. They want a guarantee that when they're gone, their kids that are left behind aren't left in the lurch."
Mr Cox said many veterans suffered health problems caused by nuclear fallout. Some of those issues could be passed on to children. The Mururoa Veterans' Group wanted a government support structure put in place.
He said the group would start by building a data base of veterans from Mururoa and their children who were suffering from health problems caused by nuclear fallout. Mr Cox himself has been living with cancer caused by nuclear fallout.