Mark Waid's two interconnected titles will have a four-part story running between them.
The story explain the details behind the long-standing rivalry between now-fallen hero the Plutonian and his nemesis, the reformed supervillain Max Damage.
"This is the crossover we've been waiting to tell," said BOOM! founder and chief executive officer Ross Richie.
"We get to peer deeper into Max Damage's origins. These two iconic characters have been powerhouse adversaries since the first issue and we are thrilled to add to the mythology of both of these great series."
Irredeemable is illustrated by Diego Barreto and Incorruptible by Marcio Takara. Both titles are written by Waid.
The crossover will launch in December, beginning in Irredeemable #32 and running through Incorruptible #25, Irredeemable #33 and Incorruptible #26.
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