The acknowledgement came shortly before MSNBC host Rachel Maddow reported on two pages of Trump's 2005 tax forms on her Tuesday night show.
The records were obtained by Pulitzer prize-winning journalist David Cay Johnston, who said he received the documented unsolicited, in the mail.
The documents have become highly sought-after because Trump refused to release his returns during the campaign, breaking a decades-long tradition. He claimed he was under audit by the Internal Revenue Service and said his attorneys had advised against it - though experts and IRS officials said such audits don't bar taxpayers from releasing their returns.
"You know you are desperate for ratings when you are willing to violate the law to push a story about two pages of tax returns from over a decade ago," the White House said in a statement.
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The unauthorized release or publishing of federal tax returns is a criminal offense, punishable by a fine of up to USD 5,000 and up to five years in jail. But Maddow argued that MSNBC was exercising its First Amendment right to publish information in the public interest.
Trump's tax returns spotlight the role of the Alternative Minimum Tax, which was established nearly five decades ago to prevent the wealthy from using deductions and clever accounting to largely avoid paying taxes.