The local authority says the upgrade to 500 households could help residents cut energy bills by up to £150 and reduce carbon dioxide emissions by 300 tonnes every year.
The scheme will see solar panels being installed on the roof of each home, which will provide tenants free electricity whenever the panels are generating power.
Any surplus electricity generated will be exported to the national grid.
Gill Williams, Chair of the Housing Committee, said: “We know many residents struggle with energy costs and that can have a real impact on their health and wellbeing.”
The solar scheme is scheduled to be finished by 2023.
The city, which has committed to becoming carbon-neutral by 2030, has already a total of more than 360 solar-powered council houses.