Ronald Reagan and George H. W. Bush attempted to boost Richard Nixon as he denied any knowledge of the infamous break-in at his political rivals’ offices.
The calls are among the final installment of recordings to be released from the Republican’s administration.
Richard Nixon, who quit in 1974, remains the only US president to have resigned.
His second term was engulfed by scandal after burglars tied to his re-election committee in 1972 broke into the Democratic party’s headquarters at the Watergate office complex in Washington DC, in an attempt to dig up dirt on his political adversaries.
The recordings are the last of a total of 3,000 hours of tape released by the National Archives and Records Administration.
Another 700 hours remain restricted by national security and privacy concerns, but the archive says they will now be reviewed in order to see what can be released.
The tapes cover the time period between 9 April and 12 July 1973, the day before the existence of Nixon’s secret recording system in his offices was made public to a Senate panel probing the Watergate scandal.
The tapes implicated him in a cover-up about the break-in.
The calls from the future presidents came on April 30, after Richard Nixon had made a public address about the growing scandal.
Earlier that day, three senior White House officials had resigned over the affair and another was sacked.
Ronald Reagan, who was governor of California at the time, told Richard Nixon the Watergate speech had been the right one to make.
“You can count on us,” he said.
“We’re still behind you out here and I wanted you to know that you’re in our prayers.”
George Bush called the same evening. The newly appointed chairman of the Republican National Committee said he had watched the speech with “great pride”.
Richard Nixon complained to George Bush about the reaction from broadcasters.
“The folks may understand,” Richard Nixon said, adding: “To hell with the commentators.”
The tapes also show Richard Nixon press secretary Ron Zeigler briefing the 37th president about the possibility of further serious revelations by the Washington Post reporter Bob Woodward.
Despite the crisis engulfing him, Richard Nixon remained actively engaged in global diplomacy.
At one point – in discussions with an aide – Richard Nixon can be heard describing the Chinese as “the ablest people in the world”.
The president can also be heard holding a lengthy Oval Office conversation with Soviet leader Leonid Brezhnev before a June 1973 summit.
Richard Nixon expresses a close interest in ties with China – a relationship he describes as the “key to world peace”.
In the hour-long one-on-one, assisted by an interpreter, the two leaders chatted about personal topics, including their families.
“We must recognize…. while we will naturally in negotiations have some differences, it is essential that those two nations, where possible, work together,” Richard Nixon said to Leonid Brezhnev.
“If we decide to work together, we can change the world,” he said.
“That’s my attitude as we enter these talks.”
Previous releases show the president as a paranoid man who was obsessed with the Kennedy family.
Richard Nixon considered Senator Ted Kennedy such a political threat that he ordered surveillance in the hope of catching him in an affair.
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