Dodd, who worked for the BBC from 2000 to 2008, has more recently been creative director at digital agency Zone, working with charities and brands including Macmillan Cancer Support and Coca-Cola, and has since authored a study called The New Reality, on non-profits' approach to digital transformation.
She will take up the position of director of digital transformation and comms next month.
In the role, she will be responsible for overseeing the charity's comms and marketing to raise awareness, encourage fundraising and support campaigning goals, and for the organisation's digital work.
This digital work will include "maximising the potential of digital to transform the lives of people with or affected by Parkinson’s, enabling the charity to meet ambitious strategic goals", through digital developments and solutions, the charity said in a statement.
Steve Ford, CEO of Parkinson’s UK, said: "We believe creating this bold new digital transformation role in the charity – and in the sector – will help us do that even more effectively in the future, creating innovative solutions that will equip and enable people to take control."
Parkinson's UK had income of £31m in 2014 and more than 330 staff, and this year in April enjoyed a particularly high-profile Parkinson's Awareness Week, which included work with the BBC, and an appeal to social media users that sharing an animated video "could change your friend's life".
Dodd's appointment is the latest move from the BBC to the third sector – in February, the children's charity Barnardo's appointed the corporation's head of TV and media operations Gill Holmes as its head of comms.