"This bill gives Congress the ability to fulfill its constitutional responsibilities, strengthen our democratic system and ensure that no one is above the law", said Cuomo, a Democrat.
But Republican critics argue it's a political ploy, and Chair of the House Ways and Means Committee Rep. Richard Neal (D-Massachusetts) has said the move is unnecessary as Congress probably won't act on the powers granted.
Democrats have said they have the authority to seek Trump's tax returns, citing the century-old IRS code 6103 that stipulates when the Ways and Means Committee requests an individual's tax returns, the agency "shall furnish" them.
Neal has said he prefers to focus on obtaining Trump's federal tax returns, even though the president's state tax documents, according to the New York Times, "would likely contain much of the same information as the contested federal returns".
"We don't have jurisdiction over NY taxes", Neal told Bloomberg in June.
He also said that lawmakers don't have jurisdiction over NY.
Neal's lawsuit to get the tax returns could drag on for months if not years, potentially pushing any release of the tax returns beyond the 2020 presidential election.
The department affirmed Mnuchin's assertation on June 14, saying because Neal had wanted to make the president's tax returns public, the request would not carry out a legitimate legislative function. But there is no law requiring presidents or presidential contenders to release their tax returns.
New York's state legislature has had a Democratic majority in both the House and the Senate since Democrats won control of the Senate in 2018.
The Trump administration has continued to stand its ground against all efforts to obtain his tax returns. Under federal law, the confidential information in the returns is supposed to be for the committee's eyes only.
U.S. House Judiciary Chairman Jerrold Nadler, a New York Democrat, has touted the bill as "a workaround to a White House that continues to obstruct and stonewall the legitimate oversight work of Congress".
Treasury Secretary Steven Mnuchin (L) speaks with Chairman of the House Ways and Means Committee, Richard Neal, prior to testifying on Capitol Hill in Washington on March 14, 2019.
The committee sued Mnuchin and the Treasury Department last week to appeal Mnuchin's decision.