Blair's decision to send troops to back the US-led invasion is still a live political issue in Britain, where a six-year public inquiry into the conflict is yet to publish its findings.
Asked whether the offensive was the principal cause of the rise of Islamic State, which now controls large areas of Iraq and neighbouring Syria, Blair said there were "elements of truth" in that.
"Of course, you can't say that those of us who removed (former Iraqi dictator) Saddam (Hussein) in 2003 bear no responsibility for the situation in 2015," Blair told US network CNN. Critics say the US decision to disband Saddam Hussein's army after the invasion created a huge security vacuum exploited by al Qaeda, which was eventually replaced by Islamic State.
Some former Iraqi army officers, members of the Sunni Muslim minority which says it has been marginalised by the Shi'ite-led government backed by Western powers, are senior strategists in Islamic State.
The Iraqi government says it has not marginalised Sunnis. Blair said the "Arab Spring" uprisings across the region also affected Iraq, and pointed out that Islamic State had risen out of a base in Syria, not Iraq.
Blair apologised for what he described as mistakes in planning and intelligence before the war and in preparations for would happen once Saddam was removed, but said it had been the right decision.
"We have tried intervention and putting down troops in Iraq; we've tried intervention without putting in troops in Libya; and we've tried no intervention at all but demanding regime change in Syria. It's not clear to me that, even if our policy did not work, subsequent policies have worked better," he said.
"I find it hard to apologise for removing Saddam. I think, even from today in 2015, it is better that he's not there than that he is there."
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