The Royal Voluntary Service (RVS), one of the largest volunteer organisations in the country, will receive £375,000 from the Libor rate fixing scandal penalties pot, George Osborne said.
It was one of three organisations backed by a memorial fund set up in the wake of the fatal attack on the Labour MP in June.
The award is one of a number made from the £14m set aside from banking fines that Mr Osborne has handed out to charities in what are likely to be his remaining few hours as Chancellor.
Some £1.9m will go on new buildings for pre-school age children of SAS personnel while £2.2m will fund new recovery facilities for naval special forces.
Flights to the Falklands for veterans over the next three years to visit battlefields, war graves and memorials will be secured with a £550,000 grant and £2.25 million will support D-Day veteran visits to Normandy.
The Aged Veterans Fund, which tackles health, well-being and social care needs, will receive £5m and £100,000 is being used to fund an Antarctic expedition for wounded veterans.
Mr Osborne said: “It is right that funding from those in the banking industry who demonstrated the worst of values goes towards people who display the very best of British values.
“Jo Cox dedicated her life to bringing people together and making a difference. She was an inspiration to people across the world and I am proud to give the Royal Voluntary Service this funding in her memory to continue their vital work.”