The party sent the request to the Election Commission a week ago, Geo News channel quoted its sources as saying.
The poll panel is expected to decide on allotting symbols to various parties during its next meeting.
The Tehrik-e-Tahaffuz Pakistan is one of 19 new parties that were recently registered by the Election Commission ahead of next year's general election.
It is not yet clear if Khan himself will contest the polls.
Khan, 76, was placed under house arrest in 2004 after he confessed on state-run television to running a clandestine nuclear proliferation ring that provided technology and know-how to countries like Libya and North Korea.
However, he is regarded as a hero in Pakistan for his role in the programme to develop nuclear weapons.
