Work and Pensions Secretary Mel Stride said uncertainty around life expectancy and the public finances had driven the decision - which Labour branded 'a damning indictment of 13 years of failure'.
The government has frozen plans to accelerate the rise in the state pension age.
Work and Pensions Secretary Mel Stride confirmed the move following newspaper reports that suggested the government was erring over the plans.
The age at which the state pension is payable currently stands at 66, and by the end of 2028, it will have risen to 67.
Increasing the state pension age to 68 was scheduled to happen between 2044 and 2046 - but ministers had been contemplating bringing that forward to between 2037 to 2039.
Mr Stride said he agreed the rise in the state pension age from 66 to 67 should occur between 2026 and 2028 as planned, but that parliament should "consider the rise to age 68 again".
He said that decision will be delayed until after the next election, with another review taking place "within two years of the next parliament".
Increasing the state pension age had been on the cards because of the trend of people living longer. However, the coronavirus
pandemic changed that, reducing the life expectancy for women by one year and 1.3 years for men - removing a key justification for changing the rules.
The decision to delay the changes could also have been influenced by France - where violent protests have erupted at President Emmanuel Macron's proposals to raise the state pension age to 64 - and the Tories' own electoral prospects.
Mr Stride told MPs: "Given the level of uncertainty about the data on life expectancy, labour markets and the public finances, and the significance of these decisions on the lives of millions of people, I am mindful a different decision might be appropriate once these factors are clearer.
"I therefore plan for a further review to be undertaken within two years of the next parliament to consider the rise to age 68 again."
'Responsible and reasonable approach'
The cabinet minister defended his approach, saying it "continues to provide certainty for those planning for retirement" while ensuring in the longer term, it is "sustainable and fair across the generations".
He said the government "remains committed" to the principle of the 10-year notice of changes to the state pension age.
"The approach I'm setting out today is a responsible and reasonable one," he said.
"One that continues to provide certainty for those planning for retirement, while ensuring that we take the time to get this right for the longer term, so that the state pension can continue to provide security in retirement and is sustainable and fair across the generations."
Mr Stride confirmed that the increase in life expectancy has "slowed" since the first state pension age review was carried out in 2017 - a trend he said was being seen "to a varying degree across much of the developed world".
He cited an independent report by Baroness Neville-Rolfe carried out in 2022, which he said "highlights an important challenge: a growing pensioner age population and the affordability and fiscal sustainability of the state pension".
"As a society we should celebrate improvements in life expectancy, which has driven rapidly over the past century and is projected to continue to increase," he said.
'Not exactly a sign of strength'
The announcement swiftly received a hostile reception from former cabinet minister Jacob Rees-Mogg, who said: "Unlike the Labour Party I don't welcome this decision.
"That life expectancy from retirement from the 1940s to today has increased by seven years, which would indicate a retirement age of 72 rather than of 67 or 68.
"The benefit of long-term decision-making is that it gives everybody the chance to plan well in advance. And the delaying the decision is a decision in itself, and is not exactly a sign of strength."
Labour's shadow work and pension secretary Jon Ashworth welcomed the delay but said the stalling life expectancy rates that drove it were a "damning indictment".
"Today's announcement that they are not going ahead with accelerating the state pension age is welcome, and it is the right one," he said.
"But it is the clearest admission yet that a rising tide of poverty is dragging life expectancy down for so many, and stalling life expectancy, going backwards in some of the poorest communities, is a damning indictment of 13 years of failure which the minister should have acknowledged and apologised for today."