He added: “She was a deeply principled champion for young people in Birmingham and someone who worked tirelessly for the people of Moseley.
“She will be sorely missed.”
Ms Jenkins’ family said she had died with her four children and close relatives at her bedside.
Sharon Thompson, deputy leader of the council, said: “Kerry was never afraid to speak up on the things that mattered to her, never afraid to call out injustice and would often support many friends in the Labour Group.
“She was supportive to many in the community and also creative – her knitting was on point.
“We always talk about the need for strong women in politics – Kerry was one of the strongest in the Chamber.”