The Princess Royal spoke to the broadcaster from her country home at Gatcombe Park in Gloucestershire.
Princess Anne mentioned how her late father had left his mark on a number of causes.
She said: “There were not many people who understood just how broad his interests were and how supportive he was to an astonishingly wide range of organisations. His perspective was really important.”
Princess Anne was presenting an award for engineering at the time of the interview.
The medal is named after her father and reflects their shared passion for the subject.
According to ITV, the Royal Academy of Engineering had been planning to issue a special centenary award of The Prince Philip Medal to mark his birthday.
The medal recognises an individual’s contribution to engineering and has been awarded to a female for the first time in its 30-year history.
The Princess Royal presented the award to Dr Gladys West to honour how her work modelling the earth’s surface led to the development of GPS satellite positioning.