However, it says "there has been a consistent pattern of failing to display the proper degree of openness", notable over complying with Freedom of Information (FoI) requests.
CRU scientists were too quick to dismiss critics from outside their own circles, it says.
Sir Muir said the methods the inquiry team used ought to allay fears that this was a whitewash.
"It's inevitable that people who've made up their minds (beforehand) have made up their minds," he said.
"But we haven't ducked the issues... we've gone to the heart of the issues to resolve them as best we can."
Edward Acton, UEA vice-chancellor, said the review should "finally lay to rest the conspiracy theories, untruths and misunderstandings that have circulated.
"We hope this exoneration of UEA climate scientists and their research collabroators around the world, some of whom have suffered considerably during this experience, will be widely reported.""