Fashion designer Mona Suri, who was battling for life for over two months after two men tried to burn her alive at her south Delhi residence, has died at a hospital in Delhi.

The end of the 35-year-old desginer came late on Saturday night following a multiple-organ failure, her family and doctors said.

Her condition deteriorated on Thursday evening and doctors had put her on life support system for the first time since she was admitted.

The functioning of her kidneys, lungs and respiratory system had stopped on Thursday morning and doctors were trying to revive her.

Expressing displeasure at the pace of investigation by the Delhi police, Mona's family demanded a CBI probe into the case.

"The police investigations were on the right track in the beginning, but later it lost direction and for the last 40-50 days, they could not manage to make any headway in the case. We want a CBI inquiry," Mona's brother Taranjeet Bawa said.

Mona was admitted to Safdurjung Hospital with 80 per cent on August 12 after two unidentified attackers who came on a motorbike poured kerosene and threw a lighted match-stick on her at her residence in Greater Kailash II.

She had alleged that one Rachna, a colleague of her husband Naveen Suri, might be behind the attack as she had a relationship with him.

Based on the statement, police registered a case against Rachna under charges of causing greivious hurt and criminal conspiracy.