Earlier this month, the House of Representatives voted 420-0 in favor of making the report public, with no Republican opposition. "The best day of Trump's presidency", said the BBC.
He wondered what would be in Mueller's report that she would think would be actionable.
The president and his allies in Congress went on the offensive as the summary gave him a political victory ahead of his 2020 re-election bid, with no allegations of criminal wrongdoing brought against him.
Tim Murtaugh, communications director for Trump's campaign, sent a memo to TV news producers at networks including CNN and MSNBC, imploring them to either ban guests who had claimed there was evidence that Trump and his campaign colluded with Russian Federation, or challenge them on their claims.
"If these guests do reappear, you should replay the prior statements and challenge them to provide the evidence which prompted them to make the wild claims in the first place", he added.
The Trump Soho hotel is seen in New York
Asked during Monday's White House meeting with Israeli Prime Minister Benjamin Netanyahu whether Mueller acted honorably, Trump replied: "Yes, he did".
They want to see how Barr determined Trump did not obstruct justice, something they say they can't do without all the full report, evidence and other materials.
The Kremlin said on Monday that President Vladimir Putin was ready to improve ties with the United States following the release of Barr's summary and called on Washington to formally recognize there was no collusion.