Joshua safeguarded his reality heavyweight titles with an overwhelming knockout of Alexander Povetkin in the wake of conquering an early invasion from the Russian at Wembley on Saturday.
After the win, the 28-year-old emphasized his longing to battle Wilder, who protects his WBC title against Tyson Fury on December 1.
Hearn trusts that the potential unification session would go down as one of the greatest challenges in boxing history.
He stated: "It could be one of the greatest battles taking all things together time boxing history, it will be the greatest battle in British boxing history since we've quite recently had one against Wladimir Klitschko - that was the greatest battle in British boxing history, verifiable, and the most energizing. This one will overshadow that."
Hearn additionally recommended Joshua would be set up to battle in the United States out of the blue.
He included: "We don't preclude a battle in America sooner or later too, we realize that the cash is over yonder.
"It will be extremely intriguing yet I do trust we are just touching the most superficial layer of how enormous Wilder v Joshua could be."
Wrath may feel he is entitled for a unification battle against Joshua on the off chance that he figures out how to beat Wilder for the WBC belt in December, yet Hearn proposed Wilder would be an all the more energizing rival for onlookers.
"I would prefer not to be impolite however Tyson Fury is the most un-engaging contender I have ever observed," he said.
"He's never been in a decent battle in his entire profession, aside from [Steve] Cunningham when he got thumped down.
"Deontay Wilder versus Anthony Joshua is the greatest battle in world boxing and elaborately it is the most energizing match up you could make in boxing."
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