A spokesman for the "Partridge Family" actress said Monday that Jones agreed to postpone the jump after her sons and grandchildren asked her to reconsider.
Jones announced last week that she planned to celebrate her birthday by jumping from a plane for the first time, something she said she wanted to do all her life. She was inspired by President George H.W. Bush, who skydived on several of his birthdays, including his 85th in 2009.
Spokesman Edward Lozzi said Jones' family held an intervention Sunday to prevent the actress from going through with the jump planned for Monday. Jones insists she still plans to skydive, though no date has been set.