John Maggs was born in 1940 and became homeless during the 1970s, the charity said.
He was found dead in in the basement of the derelict Fownes Glove Factory on City Walls Road.
Melissa Blewitt, the fundraising and communications manager at the charity, said: “[The concert] is meaningful because other community groups and organisations were very essential at the beginning of Maggs’s story.
“Returning to All Saints for this service is incredibly meaningful for us. This church was there at the beginning of Maggs’ story, when the community came together in response to John Maggs’ death and chose compassion over indifference.
“Forty years later, the need is still great, but so is the generosity and determination of Worcester.
Rev Jamie Klair from All Saints Worcester, said: “Forty years on from that initial act of vision and compassion at All Saints Worcester in the wake of John Maggs’ death, we are gathering with Maggs to celebrate all that has been done in Worcester and beyond.
“On Sunday, we are hosting these carols as a collective moment brimming with defiant hope.”