WASHINGTON—Republicans last week produced a memo describing what they say were abuses by U.S. intelligence agencies in probing Russian interference in the 2106 election. Now, a group of House Democrats say they have drafted their own memo to rebut those charges.

Rep. Adam Schiff, the top Democrat on the House Intelligence Committee, said Wednesday the party would push for its memo to be made available to the full House of Representatives at the committee’s Monday meeting. The full committee, where Republicans hold 13 of the 22 seats, would need to approve.

“Regrettably, it has been necessary for Committee Democrats to draft our own memorandum, setting out the relevant facts and exposing the misleading character of the Republicans’ document so that members of the House are not left with an erroneous impression of the dedicated professionals at the FBI and DOJ,” Mr. Schiff, of California, said in a statement.

The panel already made the GOP memo available to the full House and is now considering making it available to the public. Republicans on the House Intelligence panel said they voted to release their memo in the interest of transparency and accountability, even though the Federal Bureau of Investigation material on which it is based remains off-limits to all but a handful of senior lawmakers on both sides of the aisle.

“We’re very troubled by what we found,” said Rep. Mike Conaway, a Texas Republican who sits on the intelligence committee.