Spirit of 2012, the London Olympics legacy funder, will support Hull 2017's volunteering programme for three years from September.
Visit Hull and East Yorkshire will host the programme, taking over from local development agency Absolutely Cultured, which has run the scheme since 2018.
The move follows a consultation that found a new host organisation was needed to increase the programme's impact in the wider East Yorkshire region.
About 2,500 volunteers have contributed to the programme since 2016, completing 53,913 days of volunteering.
Lee Corner, chair of Absolutely Cultured, said the programme will retain "its strong connection to the cultural sector, and volunteers will still have an essential role in enabling and encouraging cultural experiences across Hull’s communities".
"These are the things that make up the unique DNA of the volunteer programme and we know how important they are to our volunteers."