GPs and other primary care staff have been working around the clock to be ready to deliver the jabs.
The latest stage is being delivered by GP-led primary care networks (PCN) with more joining on a phased basis during December and in the coming months.
Three Harbours and Bosvena Health PCN, which covers surgeries in Bodmin, Lostwithiel and Fowey is among the primary care networks to be the first to run local vaccination services, along with St Austell Healthcare PCN and Truro PCN.
The COVID-19 vaccine is being rolled-out nationally to people most at risk. People aged 80 and over as well as care home workers will be amongst the first to receive the vaccine.
NHS Kernow says that members of the public will be contacted when it is their turn to get the jab.
GP Rob White, clinical lead for the COVID-19 vaccination programme and NHS Kernow Governing Body member, said: “I am delighted that today we see the first of our GP surgeries begin vaccinating people within the national priority groups.
“All of our primary care networks have been working together at speed with such determination and professionalism to make today happen.
Further information on the vaccine is available via the national NHS website.