Around 84% of adults in Wales wish to be home-owners in the next 10 years according to the research, compared to 79% in Great Britain.
In the shorter term, 47% of adults surveyed in Wales indicated they would like to buy a home (either their first or subsequent home) in the next 2-3 years.
Separate data released by the CML in Wales showed an increase in lending to first-time buyers in the first quarter, while lending to home movers and those remortgaging eased.
Peter Hughes, chair of CML Cymru commented:
"The desire to move into home-ownership in Wales is strong but there are still a number of barriers in the housing market stopping people from buying or moving, which is why we are working with key stakeholders on initiatives aimed at boosting the housing market in Wales."