The multi-millionaire former Take That singer was accused earlier this year of being involved in an "aggressive" tax avoidance scheme.
Barlow, a prolific tweeter, refused to comment after coming under a deluge of criticism amid demands he be stripped of his OBE when the story broke in May.
But Barlow, a Tory supporter who lives in the constituency of Prime Minister David Cameron, has spoken for the first time, briefly, about his tax affairs with two tweets from his Twitter account.
He tweeted: "I want to apologise to anyone who was offended by the tax stories earlier this year." A second tweet said: "With a new team of accountants we are working to settle things with all parties involved ASAP."
Barlow did not say exactly what he was apologising for or elaborate further on his tax arrangements.
Mr Cameron rejected calls for Barlow to hand back his OBE after the star was ordered to repay millions of pounds in tax. The Prime Minister said it was not "necessary" to remove his honour because he had "raised money for charity."