The group's $2 billion purchase of the team from former owner Frank McCourt became official Tuesday.
Johnson, Guggenheim Partners Chief Executive Mark Walter and ownership partner Stan Kasten met with reporters on the stadium's center field grass after being introduced by longtime announcer Vin Scully, The Hollywood Reporter said.
"I can't even put it in words," Johnson said while choking up. "God is so good. And I know that because I am standing here a Dodger owner."
The former Los Angeles Lakers superstar announced parking fees at the stadium would be lowered from $15 to $10 as a goodwill gesture to the team's fans.
Also present at the event were minority partners, including movie producer Peter Guber, chief executive of Mandalay Entertainment as well as a minor-league baseball team owner, the publication reported.
"It is show business, it is entertainment," Guber said of baseball. "A fan comes to the stadium, and the minute he or she makes the decision ... every moment is a connection that you have to have with that audience."