The house on Wimbledon High Street in south-west London was Sister Nivedita's home before she moved to Kolkata, then Calcutta, to set up a school and help the poor.
"This is a rare privilege for us. Sister Nivedita, a daughter of this soil, was dedicated and devoted to India. Our country can never forget her," Ms Banerjee said at a ceremony to mark the unveiling yesterday.
The ceremony also marked the West Bengal chief minister presenting small statues of Sister Nivedita and her mentor, Swami Vivekananda, on behalf of the state to the local Wimbledon History Museum.
"The plaque in memory of Sister Nivedita should be an inspiration to all. We at the Indian High Commission have started identifying all the places of interest across London associated with Indians and create a map for visitors to trace and feel proud," noted Dinesh Patnaik, India's acting high commissioner to the UK.
Sister Nivedita, a disciple of Swami Vivekananda, began her professional life as a schoolteacher when she was based in Wimbledon and went on to establish Ruskin School in the area, which was to eventually become the inspiration for her girls school in Bagbazar area of Calcutta.
"Sister Nivedita (Margaret Noble) - Educationalist and Campaigner for Indian Independence lived here," is the inscription by English Heritage for the blue plaque unveiled to coincide with her 150th birth anniversary this year at 21A Wimbledon High Street.
Ms Banerjee was invited by the Ramakrishna Mission and followers of Sister Nivedita in the UK.
She later also travelled back with Swami Vivekananda from India to London, arriving at 21A High Street in Wimbledon on July 31, 1899. Swami Vivekananda stayed at the home for a couple of nights while Sister Nivedita and her family found him lodgings nearby. The house remained Sister Nivedita's family home until January 1902.
"Sister Nivedita wasn't recognised by Indian historians for her contribution to the Freedom Movement. We are happy that English Heritage is recognising her contribution in the areas of education and as a campaigner of Indian Independence on her 150th birth anniversary for the first time on English soil," said Sarada Sarkar, a London-based teacher who led the campaign to get the blue plaque installed in memory of Sister Nivedita.
The London Blue Plaque Scheme, run by English Heritage, celebrates the link between important historical figures and the buildings in which they lived or worked. Founded in 1866, it is believed to be the oldest scheme of its kind.
"This is an inspiring occasion celebrating an extraordinary woman," said Anna Eavis of English Heritage.
Sister Nivedita's residence in Northern Ireland, where she was born, has already been marked with a blue plaque by the Ulster History Circle.