This is reported by the official Bellator website.
The fight will take place on June 25 in the American city of Uncasville at the Bellator 261 tournament.
In total, at the professional level, the 29-year-old Moldavsky fought 15 fights, winning 14 of them.
At Bellator, he won all five of his fights.
Johnson, 36, has an MMA record of 15-6.
Earlier, the MMA Union of Russia held an "interactive duel" between Nemkov and Kelesh.