The party said there was a "stark difference" between the eye-witness accounts and the doctors treating him at the Ram Manohar Lohia Hospital on the one hand and the post mortem report on the other.
"The situation which is shaping up in the aftermath of the rape (of the 23-year-old woman) and subsequent protests and death of Subash Tomar suggests that there is an attempt to politicise the whole issue," AAP said in a statement.
"The repeated lies of Delhi Police, in particular, suggest that it was either trying to hide something or deliberately trying to prove something in this case," it alleged.
The post-mortem report of the 47-year-old constable, who died yesterday, suggest he died because of cardiac arrest induced by injuries to his neck and chest by a blunt force. Medical Superintendent of Ram Manohar Lohia Hospital, Dr TS Sidhu, however, earlier on the day said, "He (Tomar) came in a state of total collapse and our doctors revived him and as he was not stable, we shifted him to the Intensive Care Unit. He was on ventilator. There was no major external injury marks except for some cuts and bruises."