The former wrestler, who is now the world's highest-paid actor, said he, his wife and two daughters caught the virus despite being "disciplined" about health protection.
He said the positive tests were "a kick in the gut".
Now, he added, "we're on the other end of it and no longer contagious. Thank God, we're healthy."
Johnson, 48, said he. his wife Lauren, 35, and their daughters Jasmine and Tiana, aged four and two, contracted the virus about two-and-a-half weeks ago.