A resolution setting out the next steps in President Donald Trump’s impeachment have been published by House Democrats.

The motion sets out a more public phase of the inquiry and hands the lead role in hearings to the chairman of the intelligence committee, Adam Schiff.

The House, controlled by the Democrats, will vote on the measure on October 31.

A White House spokeswoman said the resolution was an “illegitimate sham”.

So far, hearings have been held behind closed doors. This vote to make the impeachment process public is about the procedure, and not a ballot on whether or not to impeach the president.

Meanwhile, Republicans have criticized Democrats for the closed hearings up to this point, in which Republican lawmakers have also taken part. However, Democrats insist they were needed to gather evidence ahead of the public stage of the inquiry, and deny allegations they have been secretive.

President Trump is accused of trying to pressure Ukraine into investigating unsubstantiated corruption claims against his political rival, Joe Biden, and his son, Hunter Biden, who worked with Ukrainian gas company Burisma.

The president denies wrongdoing and calls the impeachment inquiry a “witch hunt”.

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On October 29, the impeachment inquiry heard from Lt. Col. Alexander Vindman, a White House official who had monitored a phone call on July 25 between President Trump and Ukrainian President Volodymyr Zelensky.

That call sparked a whistleblower complaint and led to the impeachment probe.

Col. Alexander Vindman said he was “concerned” by the call as he “did not think it was proper to demand that a foreign government investigate a US citizen”.

The eight-page document sets out a two-stage process for the next phase of the inquiry.

In the first, the House Intelligence Committee will continue its investigations and hold public hearings. It will have the right to make public transcripts of depositions taken in private.

In the second phase, a public report on the findings will be sent to the House Judiciary Committee which will conduct its own proceedings and report on “such resolutions, articles of impeachment, or other recommendations as it deems proper”.

President Trump’s lawyers will be allowed to take part in the Judiciary Committee stage.

Republicans on the committees will be able to subpoena documents or witnesses – although they could still be blocked as both committees are Democrat-controlled.

House Speaker Nancy Pelosi has said a House vote on the resolution would take place on October 31. She has previously said such a vote is not required under the US Constitution.

House Republican leader Kevin McCarthy, speaking before the resolution was unveiled, said the entire process was a “sham.”

Referring to the closed-door meetings and depositions he said: “You can’t put the genie back in the bottle. Due process starts at the beginning.”