NHS data shows 142,079 people had received both jabs by May 9 – 33% of those aged 16 and over, based on the latest population estimates from the Office for National Statistics.
Of those to have received both jabs, 128,519 were aged 40 and over – 45% of the age group.
It means 13,560 people aged between 16 to 39 have received both doses.
Across England, a third of people aged 16 and over have received their second vaccine dose.
The NHS vaccine data also reveals variation in coverage for residents who had received at least one dose between different areas across Buckinghamshire
Across Buckinghamshire, 68% of those aged 16 and over have had one jab.
Areas with the highest coverage:
1) Longwick, Kimble & Lacey Green, with 80.3% of people aged 16 and over given their first dose
2) Granborough, Stewkley & Great Brickhill, 80.1%
3) Princes Risborough, 80%
Areas with the lowest coverage:
1) Oakridge & Castlefield, 46.4%
2) Sands, 49.7%
3) Aylesbury Central, 50.2%
Across England, 15 million people had received a second dose of the jab by May 9 – 33% of the population aged over 16 and over.
That includes 13.3 million people aged 40 and over – 47% of the age group.
In total, 29.4 million people had received at least one dose of a vaccine by the same date, covering 65% of people over 16.
Despite the success of the rollout, some staff at care homes in Buckinghamshire have not been vaccinated.
The figures show 3747 out of 4842 eligible staff, including agency workers, at older adult care homes had received a first dose by May 9 – meaning 23% have not had a jab.
The Government is currently in consultation over plans to make the jab mandatory for staff over concerns for residents.