Swamy, accompanied by lawyers, reached the inter-state cell of Delhi police's crime branch at around 11 am.
The Janata Party chief has been granted interim protection till January 30 by the Delhi high court against his possible arrest in the case.
The high court had on Friday last granted interim protection to Swamy and asked him to give an undertaking that he would not write such articles in the future. The court also issued notice to the Delhi police, seeking its response to Swamy's anticipatory bail plea.
The Delhi police had, on October 3, registered a case of spreading enmity between communities against Swamy for his remarks suggesting revoking of voting rights of Muslims.
The crime branch registered a case under Section 153A (spreading enmity between communities) of Indian Penal Code for his newspaper article in July this year.
A Harvard-educated economic scholar, Swamy in an article in a newspaper had suggested Indian Hindus collectively respond to terror acts.
