The Duchess of Cambridge wore a blue face covering with a short-sleeved cream top and light blue jeans as a medic jabbed her in the arm at the South Kensington site yesterday.
The 39-year-old said she was 'hugely grateful' to those dishing out the vaccine in a post on the official Kensington Palace Twitter account.
It came just ten days after her husband Prince William had his first shot from NHS medical staff at the same location.
The 38-year-old posted a picture of himself wearing a mask with his sleeve rolled up and a needle in his arm as he received the jab near where he lives with Kate and their three children.
London's Science Museum is offering both the Pfizer/BioNTech and Oxford-AstraZeneca jab, NHS England confirmed - both of which Kate and William are entitled to as they are under 40. Kensington Palace has not officially revealed which vaccine was given to the royal couple.
Kate said today: 'Yesterday I received my first dose of the Covid-19 vaccine at London's Science Museum. I'm hugely grateful to everyone who is playing a part in the rollout - thank you for everything you are doing.'
The post was accompanied by a photograph of the masked duchess wearing the short-sleeved top receiving the injection from a staff member who has not been named.
Responding to the Kensington Palace tweet, Health Secretary Matt Hancock, who was also jabbed at the Science Museum, said: 'In the last fortnight more than half of all people in their 30s have been vaccinated.
'Delighted HRH The Duchess of Cambridge was able to get her jab at the Science Museum.'
Prince William said on May 20 he had his vaccine shot on May 18 and followed his father Prince Charles and grandmother the Queen in revealing he had been jabbed.