Dame Tessa, who played a major role in securing the 2012 London Olympics, was diagnosed with brain cancer in May previous year and died on Saturday.
Her death comes just months after she used an emotional speech in the House of Lords calling for better access to alternative cancer treatments.
The former Labour Cabinet Minister died peacefully at the family home in Warwickshire shortly after 10pm BST yesterday.
"Her husband David and their children Jessie and Matthew were by her side, with Jessie's husband Finn, Matthew's wife Ella, and David's children from his first marriage", the statement read.
"She was totally motivated by other people and even in the way she faced up to her illness, from the moment she was diagnosed, she was starting to think about other people who had the same condition. They have been touched and moved by the response, in both Houses of Parliament; from members of the public; and other cancer patients and their families around the world".
On the 10th anniversary of the attacks, Ms. Jowell told those attending a memorial service that her memories of the day were vivid.
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Wes Streeting, Labour MP for Ilford North - the first seat that Dame Tessa attempted to get elected to in 1978 - said she had been "determined to make a real difference".
"With Sure Start she saw how communities would be better as a result of early intervention and support for families".
"What she achieved was remarkable".
A strong supporter of then-Prime Minister Tony Blair, Dame Tessa was reported to have said she would "jump under a bus" for him. She was diagnosed with brain cancer last May, and subsequently campaigned for cancer research.
Labour Party leader Jeremy Corbyn said: "It's devastating to hear the news of Tessa Jowell's death".
He wrote on Twitter: "From Councillor to Cabinet Minister, her achievements were huge, including helping to bring the Olympics to London".
"'She knew she was dying and yet she was prepared to give everything she had in order to help people in the future", Mr Blair said of her campaigning towards the end of her life.
Dame Tessa was appointed Deputy Mayor of the Olympic Village in recognition for her efforts in getting London the Games.
"No politician deserves greater credit for the Games".
Dame Tessa Jowell is survived by her husband, son, daughter, granddaughter and stepchildren.
The former Prime Minister said: "There was no-one like Tessa and no-one better".
Sebastian Coe, the president of the IAAF and chairman of the London organising committee of the Olympic Games, described Jowell as "a life enhancer", adding: "Without Tessa there would have been no London 2012, and without Tessa they would not have been the success they were".