The probe would be conducted by Principal Secretary (Home) D S Bains, a spokesperson of the Chief Minister's office said.
The Deputy Chief Minister, who also holds the Home portfolio, had asked Bains to submit the report within a fortnight.
He also directed the Principal Secretary (Home) to suggest concrete measures to prevent recurrence of such incidents.
Yesterday, the Jalandhar Passport Office impounded the passport of Namdhari, who was recently sacked as chief of the Uttarakhand Minorities Commission.
Regional Passport Officer Parneet Singh had said "we have impounded his passport which was issued to him in May 2006."
"An Uttarakhand resident had informed us that Namdhari had given a wrong address while applying for the passport," he had said.