The petition, filed by advocate Chittranjan Kumar, may come up for hearing in the next two weeks.
It states that Kejriwal registered his party with Election Commission on December 3, 2012, according to provisions of Representation of People's Act.
But its name is misleading because the term 'Aam Aadmi' (common man) is associated with, and used by all political parties, it says.
The Election Commission, in February 2013, rejected his objection, the PIL says.
Even the Unique Identification Authority uses the expression 'Aam Aadmi ka Adhikar' on Aadhar card, it says.