The survey ran from 2004 to 2012, with the last report showing that donations to charity fell by £2.3bn in real terms to £9.3bn during 2011/12.
A spokeswoman for CAF said the cost of producing UK Giving had been increasing and both organisations decided to look at alternatives.
The 2012 survey attracted strong criticism, particularly from the fundraising community. The Institute of Fundraising questioned its findings, saying they did not match the experience of its members.
Stephen Pidgeon, a trustee of the institute, called it a "pile of poo".
CAF and the NCVO said at the time they were confident in their methodology.
In a joint statement made today, the NCVO and CAF said their plans for future research into giving trends in the UK would involve the two organisations "building on their respective strengths and developing complementary programmes of research".
CAF said it would publish an update of giving trends this month, based on a survey of donors carried out last year.
A new programme of quarterly reports of donor behaviour and attitudes, based on a donor tracker survey, is planned for 2015, but this will be an updated version of that used for UK Giving and it will take better account of changing patterns of giving such as mobile and online, CAF said.
The statement said the NCVO would concentrate on developing its Civil Society Almanac, which is based on analysis of government and charity data. The 13th edition of the almanac is due to be published next month.
Using data from charity accounts, the almanac will analyse trends in giving and the contribution that donations make to charities, the statement said.
Deborah Fairclough, head of research at CAF, said: "CAF and the NCVO have worked closely for many years to inform policy-makers, voluntary organisations, fundraisers and the public about issues in the sector.
"At CAF, we are excited to be able to take forward and update the long-running survey work into giving and hope we will be able to complement other research in the sector and give an updated and more frequent view of trends."
Karl Wilding, director of public policy at the NCVO, said: "Building on our joint work over the past decade, we are pleased that NCVO and CAF’s respective new research programmes will help us to better understand why and how people choose to give."