Birla, who is a former journalist and the youngest member in the Delhi Cabinet, however, escaped unharmed.
Reportedly, Birla was sitting in the front seat her of car after unidentified people threw a sharp object, damaging the windscreen. Three other party workers were accompanying Birla when the attack took place.
The minister later went to the Mangolpuri Police station in north-west Delhi and filed a complaint.
"The car was moving at a slow place in a crowded area. People had surrounded my car. Even I am not sure what came and hit my car. Since yesterday night (Sunday) when the attack took place, I have been saying the same thing that I have no idea what hit my car and who was behind this attack. I have asked the police to file a case," said Birla.
Chief Minister Arvind Kejriwal has always maintained that AAP ministers and leaders do not require any security. When asked about the attack, he said: "I have no idea about the attack and I need to speak to Rakhi Birla before saying anything on this issue. At first, I have to speak to her on this. If any detail was hidden, then surely it is wrong. Let me speak to her."
Birla had defeated the Congress leader Raj Kumar Chauhan in the Mangolpuri constituency in the assembly polls which were held on December 4, 2013.
The Kejriwal-led AAP, which emerged from an anti-corruption movement, trounced the ruling Congress party in Delhi in recent polls. But the main opposition Bharatiya Janata Party (BJP) emerged as the single largest party with 32 members.
India's ruling Congress party, which could manage only eight members in the recently held assembly polls, agreed to give support to AAP to form government that got 28 seats in 70-member Delhi legislature.
--ANI (Posted on 06-01-2014)