WASHINGTON — The House Intelligence Committee will issue subpoenas to Michael T. Flynn, President Trump’s first national security adviser, the committee’s senior Democrat said on Wednesday, escalating Mr. Flynn’s troubles with Congress.

The Democrat, Representative Adam B. Schiff of California, said Mr. Flynn had declined the panel’s request for documents and an interview as part of its investigation into Russian meddling in last year’s election.

“Those subpoenas will be designed to maximize our chance of getting the information that we need,” Mr. Schiff told reporters during a breakfast hosted by The Christian Science Monitor. “And I think we need to use whatever compulsory methods are necessary to get the information that he possesses.”

Mr. Schiff said he hoped the committee would issue the subpoenas this week, before Congress leaves for a one-week recess. It was unclear whether the subpoenas would seek documents or Mr. Flynn’s testimony, or both.