By Natalie Andrews, Wall Street Journal–

House Judiciary Chairman Jerrold Nadler (D., N.Y.) on Friday issued a subpoena for the full Mueller report and underlying evidence related to special counsel Robert Mueller’s investigation.

Mr. Nadler asked the Justice Department to comply with the subpoena by May 1. Democrats had said the redacted report released on Thursday was insufficient, and they wanted to see more details of Mr. Mueller’s investigation on Russian interference in the 2016 election and alleged obstruction of justice by the president.

The report lays out in detail what it says were attempts by Mr. Trump to control the Russia investigation and blunt its fallout. Mr. Mueller didn’t pursue a charge of obstruction against the president.

“The redactions appear to be significant,” Mr. Nadler said. “We have so far seen none of the actual evidence that the Special Counsel developed to make this case. Even the redacted version of the report outlines serious instances of wrongdoing by President Trump and some of his closest associates.”

After the 448-page report’s release, Democrats began grappling with the decision of what to do next. House Democrats already have multiple probes under way into topics including Mr. Trump’s finances, businesses, relationships with foreign nations and White House security clearances.

Some lawmakers have called for impeaching the president, though others would like their colleagues to focus on defeating the president in the 2020 election and worry that starting impeachment proceedings could be distracting.

The issuing of the subpoena Friday for the complete report comes several weeks after the judiciary committee voted to authorize the move. At the time, Mr. Nadler said he wasn’t issuing the subpoenas right away, pending further talks with Mr. Barr.

On Thursday, Mr. Barr said he would give a dozen senior lawmakers a look at a less-redacted version of the special counsel report starting next week. Those lawmakers will review the report at the Justice Department in a special reading room next week during business hours, or on Capitol Hill the week of April 29, Mr. Barr said.

In a statement Thursday Mr. Barr said: “I believe that this accommodation, together with my upcoming testimony before the Senate and House Judiciary Committees, will satisfy any need Congress has for information regarding the Special Counsel’s investigation. “

Write to Natalie Andrews at Natalie.Andrews@wsj.com