Queen Elizabeth II knighted Moore in July at a ceremony at Windsor Castle and he became Sir Tom.
Moore died on Tuesday morning at Bedford Hospital.
The British veteran of World War II became an worldwide sensation last spring when his modest offer to raise money for the U.K.'s National Health Service ultimately collected more than $40 million in pledges.
Tributes flooded in from across the United Kingdom on Tuesday following the death of Captain Sir Tom Moore, the 100-year-old military veteran who won British hearts with his fundraising during the pandemic.
His daughters, Hannah Ingram-Moore and Lucy Teixeira, said the previous year of his life, when he shot to global fame for his selfless efforts, had been "nothing short of remarkable".
Having served in the Second World War, Sir Tom became something of a national celebrity previous year when, to mark his 100th birthday, he made a decision to do 100 laps of his garden to raise money for the NHS during the first lockdown of the coronavirus pandemic.
Today his family confirmed Sir Tom had died, aged 100. The family thought they would struggle to reach their initial 1,000-pound target last week.
Defence Secretary Ben Wallace said: "In national emergencies ordinary people do extraordinary things and inspire us all to pull together to overcome adversity".
Captain Sir Tom Moore, the second world war veteran who raised nearly £39m for NHS charities during the first coronavirus lockdown in spring 2020, has died aged 100 after testing positive for coronavirus.
'The a year ago of our father's life was nothing short of remarkable.
Boris Johnson, who previously said the veteran's "heroic efforts have lifted the spirits of the entire nation", tweeted on Sunday evening: "My thoughts are very much with @CaptainTomMoore and his family".
"Whilst he'd been in so many hearts for just a short time, he was an incredible father and grandfather, and he will stay alive in our hearts forever".
Labour leader Keir Starmer said: "This is incredibly sad news. Britain has lost a hero".
Captain Tom had not yet received a Covid-19 vaccine before he fell ill because of medication he had been taking for pneumonia.
"The Queen is sending a private message of condolence to the family of Captain Sir Tom Moore".