Delhi Chief Minister Arvind Kejriwal was present when Mr Baijal, 70, was administered oath as the 20th Lieutenant Governor of Delhi this morning by High Court chief Justice G Rohini at Raj Niwas in Civil Lanes area of North Delhi.
Anil Baijal took oath as new Lieutenant Governor of Delhi on 31 December 2016.
Baijal, who succeeded Jung 10 days after his surprise resignation, is expected to fix the turbulent relationship between the Centre and AAP Government.
On being asked about tussle between previous L-G Najeeb Jung and the AAP Government on issues, including administrative control over the bureaucracy, Baijal said, "This is speculative. We will sit, talk and then you will get to know".
He said: "May the coming year hold the promise of hope and optimism for all".
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President Pranab Mukherjee earlier on December 28 accepted Najeeb Jung's resignation and approved Baijal's name as the next Lieutenant Governor of the National Capital Territory.
Speaking to reporters, Baijal added that he was hopeful about working together with the elected government for the betterment of Delhi and the entire nation.
"During the last few months, many of Delhi's works were stopped".
He also said that Delhi is beset with several problems, including law and order, women safety and pollution.
Jung is a 1973-batch former IAS officer and also Jamia Millia Islamia University ex-Vice Chancellor.