Mrs Litvinenko replied: "No, I have no idea."
She told the inquiry her husband was paid £2000 (NZ$4171) a month for "consulting" British intelligence services after claiming political asylum in the UK.
Mr Litvinenko, 43, died at University College Hospital nearly three weeks after drinking tea laced with radioactive polonium-210 while meeting two Russian men - one a former KGB officer - at the Millennium Hotel in London's Grosvenor Square.
His family believes he was working for MI6 at the time and was killed in November 2006 on the orders of the Kremlin.
Former KGB bodyguard Andrei Lugovoi and Dmitri Kovtun have been identified as the prime suspects in the killing, but both deny any involvement and remain in Russia.
- AAP