The seeds offered would be from wildflowers, herbs and vegetables that are easy to grow and meet local biodiversity requirements, the council said.
It has been given £10,000 in government funding for the project, which aims to help communities build stronger connections with nature.
Councillor John Hacking said: “Libraries are vital community resources that improve the lives of residents and communities.”
He added: “It is great that we have been successful in gaining this funding to increase libraries’ role in connecting people with nature.”
