"My statement was not meant as a pontification on moral theology but one referring to the situation where two people make precisely contradictory statements, the classic "he said, she said" puzzle", Giuliani tweeted.
The exchange on Meet the Press on Sunday began with Mr Todd asking Mr Giuliani whether the Trump team was stalling about a possible testimony at the inquiry led by Special Counsel Robert Mueller into alleged meddling by Russian Federation in the 2016 USA election.
"No, no, it isn't truth", Giuliani said.
Politico reporter Linda Cook added that Giuliani's statement is part of the administration's strategy to undermine public trust in all major institutions and that their attacks are escalating as Mueller closes in.
"Any meeting with regard to getting information on your opponent is something any candidate's staff would take", Giuliani said. "You just said 'truth isn't truth!' That's not acceptable from a president's lawyer".
Rising fuel prices push up United Kingdom inflation for first time in 2018
House prices in the West Midlands rose the fastest in the United Kingdom compared with a year ago, according to official figures. There has been a rise in time taken to complete a property sale from 16 weeks previous year to 18 weeks on average.
"What am I supposed to say?"
"I'm not going to be rushed into having him testify so that he gets trapped into perjury", Giuliani said on "Meet the Press".
When Todd countered that "truth is truth", Mr Giuliani exclaimed: "Truth isn't truth". Rob Goldstone, who arranged the meeting, emailed Don Jr beforehand to pitch him on it and explicitly said that the dirt on Clinton was "part of Russian Federation and its government's support for Mr. Trump".
Trump has said he is willing to speak with Mueller's team, but his legal team has expressed opposition to that possibility because they believe the special counsel's investigators could take what Trump says, if it differs from what others have laid out, as a lie.
I think it's fair to say, as Stephen Hayes does, that it's unlikely that Mueller would try to indict the sitting president of the United States for "lying" to federal officials just because his account of a conversation didn't match up with James Comey's.