Luminus, based in Huntingdon, seeks to retain its identity, local offices and management team as part of the deal.
The Luminus issued by the Homes and Communities Agency, which is rated as non-compliant at the time.
Luminus has said it will "make it a better place to invest in its existing homes and services".
Nigel Finney, managing director of the Luminus Group, said, "Joining Places for People is a major milestone for Luminus, which is dedicated to helping our customers, and to helping them create a new home of one of the UK's biggest and most forward-thinking housing providers is a pivotal moment in Luminus' history.
"Joining Places for People offers our customers and staff the best of both worlds; These are some of the most important parts of our community. "
Jo Lancaster, managing director of the Huntingdonshire District Council, said, "One of the council's main priorities is to ensure our residents have access to affordable homes.
"The relationship between Luminus and Places for People is a positive move that wants to benefit all parties, and we are looking forward to a renewed relationship with them".
Luminus Group is the fourth independent housing association to join the Places for People Group. Castle Rock Edinvar in Scotland joined the group in 2005, followed by East Anglia-based Cotman Housing Association in 2009, and most recently Derwent Living in 2017.