The induction ceremony took place in the pillared High Court Building on Capitol Hill in Washington, with Mr Biden and Democratic Vice President Kamala Harris in attendance.
Ms Brown Jackson, 52, will be part of the progressive minority on the Supreme Court, the body that decides important societal issues in the country.
This group of three women will sit once morest a conservative majority of six judges – five magistrates and a magistrate – including three appointed for life by Donald Trump.
This imbalance relegates the progressive minority to a role marked by a certain inability to weigh, as illustrated by the recent decisions of the Supreme Court, which notably reversed at the end of June the constitutional right of women to have an abortion or which reinforced the possibility gun ownership in the United States.
Ketanji Brown Jackson was chosen at the end of February by Joe Biden, the Democratic president having promised during his campaign to appoint, for the first time, an African-American to the highest judicial institution in the country. She replaced Judge Stephen Breyer, 84, who retired.
In a context of acute polarization around the Supreme Court, the confirmation process in the Senate of Judge Brown Jackson however took place quite smoothly, her arrival not changing the balance of power within the college of nine magistrates.
Before Mr. Biden, Donald Trump indeed had the opportunity to anchor the body in conservatism, possibly for several decades.
The 2022/2023 session of the US Supreme Court is due to begin on Monday.