The children's show will end its current series in London ahead of its move North to the corporation's new home in Salford, Greater Manchester.
Other departments including BBC Sport, TV's Breakfast and Radio 5 Live are also due to move to the new development.
First broadcast in 1958 - two years before Television Centre opened in West London - Blue Peter has gone on to become the longest-running children's programme in the world.
Today's final show will include a world record attempt for the most people hula-hooping simultaneously.
A new Blue Garden garden will be built on the roof of the MediaCityUK base in Manchester.
Current presenters Barney Harwood and Helen Skelton will also bid farwell to co-host Andy Akinwolere.
Blue Peter's final London-based show airs today at 4.30pm on BBC Two.
> BBC puts Television Centre up for sale
Watch a clip of Blue Peter dog Barney arriving at BBC Television Centre in 2009 below: