Johnson has also suggested increasing the amount people can earn without paying National Insurance contributions (NICs) to provide a tax cut to the lower paid.
The would-be premier has not said how much he would like to raise the threshold by – currently earnings over £8,632 are subject to NICs – but the IFS said raising it by £1,000 would take 600,000 workers out of NICs and cost around £3 billion a year.
IFS research economist Tom Waters, one of the authors of the analysis, said: “These are expensive pledges to cut tax.
“Raising the higher rate threshold as far as £80,000 would be a radical change benefiting high-income households only, though it is important to be aware that the numbers paying higher rate tax have crept up over time, largely unannounced.
“There are now more than four million higher-rate taxpayers compared with 1.5 million 30 years ago.
“Raising the floor for NICs helps low earners, though raising tax credits would be much more effective and better targeted if that were the key aim.
“These pledges between them will cost many billions of pounds.
“It is not clear that spending such sums on tax cuts is compatible with both ending austerity in public spending and prudent management of the public finances.”
Johnson has previously insisted that his tax policies are “sensible”.
“It does seem to be very odd that in the Conservative Party people should seriously question whether it is right to try to lift nurses and heads of maths departments and police inspectors out of the top rate of tax,” he said during the BBC debate earlier this month.
“What we would bring forward is a package to help, primarily, the poorest in society by lifting the thresholds for National Insurance but I think it’s very sensible to have an ambition to raise the higher rate of tax for middle-income earners.”