The head of the Wagner mercenary rebels is expected to leave for Belarus after calling off his troops' advance on Moscow, reports BBC.
Yevgeny Prigozhin and his troops will not be prosecuted, says the Kremlin.
Wagner fighters have reportedly begun to leave the southern city of Rostov-on-Don where their mutiny began.
Prigozhin had called for a rebellion against the Russian army - and his forces had captured Rostov, a major military post.
Russian President Vladimir Putin decried Prigozhin's actions as "treason" in a national TV address on Saturday.
But the situation de-escalated after negotiations between Prigozhin and Belarusian leader Alexander Lukashenko.
Security was tightened in Moscow, and the mayor told residents to avoid travelling. All mass outdoor events have been cancelled until 1 July.
Bd-pratidin English/Golam Rosul