Chelluar, who was the Chief Justice of Calcutta High Court, was transferred following the retirement of D H Waghela as Chief Justice of the Bombay High Court on August 10. Waghela held the post for six months.
Maharashtra Governor Ch Vidyasagar Rao administered the oath of office to Justice Chellur at a brief swearing-in ceremony held at Raj Bhavan, Mumbai.
Chellur is the second woman Chief Justice of the Bombay High Court, after Sujata Manohar in 1994.
The Governor's wife Ch Vinodha, Maharashtra Chief Minister Devendra Fadnavis, ministers Vinod Tawde, Chandrakant Patil, Ram Shinde, Jaikumar Rawal and Mahadev Jankar, Minister of State Deepak Kesarkar, Acting Chief Justice of Bombay High Court Vijaya Kapse Tahilramani, judges of Bombay High Court, senior government officers and invitees were present, a Raj Bhavan spokesperson said.
In 2000, she became a permanent judge of the Karnataka High Court. In 2012, she was appointed Chief Justice of Kerala High Court and in 2014 she was transferred to Calcutta.
She is scheduled to retire in 2017.