The biennial fundraiser, which took place in March, raised slightly more than 2014’s total of £71.8m, which was itself a record at the time.
The latest total for Sport Relief, which began in 2002, is significantly short of last year’s Red Nose Day, which raised more than £99.4m. The next Red Nose Day will take place on 24 March.
Kevin Cahill, chief executive of Comic Relief, announced Sport Relief’s final total on his last day in office after 19 years at the helm.
He said this year’s figure was "clear evidence that people are engaged and do care".
He said: "The success of such events shows just how much can be achieved when people come together to pursue a common goal.
"Here at Comic Relief we feel proud of the success of Sport Relief and can say with absolute conviction, that the money raised will now help transform the lives of some of the poorest and most disadvantaged people at home and across the world – be it children living on the streets of Africa’s biggest cities or young people in the UK who self-harm or are abused in their own homes.
"The British public have once again extended the hand of friendship to strangers whose lives are beyond difficult and who they will never meet but still want to help."
According to the Charity Commission website, Comic Relief had an income of almost £106.2m in the year to 31 July 2015 and spent almost £128.8m.