The pictures were taken in late November and show the prince, the third-in-line to the British throne, in a courtyard at Kensington Palace where his parents, Prince William and Kate, have an apartment.
The toddler is pictured wearing a blue sleeveless jumper decorated with marching guardsmen complete with bearskins and red tunics over a white top, dark shorts and matching socks and shoes.
The last official photographs of him were published to mark his first birthday on July 22.
Prince William and his wife Catherine are releasing the images, in part, as a thank you to the media, who have not published any of the paparrazi pictures that have been taken of the prince, the BBC reported.
The couple are said to be grateful that their request for their son to grow up without intrusion continues to be honoured.
The Duke and Duchess of Cambridge have recently returned from a three-day tour of the east coast of the United States during which they visited the 9/11 memorial and museum in New York, attended a charity fund-raising dinner and met President Barack Obama.
The duchess has already signalled that she will not be accompanying her husband when he visits Japan and China in early 2015, as she will be too heavily pregnant.
Prince William will spend three days in each country during his trip in February and March, visiting both capital cities.