Writer Ed Brubaker will be joined by the veteran artist as the title's new regular penciller.
Davis will debut on the series in issue #6.
"Cut off one of its heads, and two more take its place! An all-new Hydra has risen and they have their sights set on the Sentinel of Liberty," said the publisher.
"Throughout Fear Itself, Rogers has been harbouring a dark secret and it's one that may leave the leader of Earth's Mightiest… powerless. Can Cap and his closest allies take on the revitalized Hydra and stop them before it's too late?"
Brubaker relaunched Captain America in July with artist Steve McNiven.
He recently unveiled the new Winter Soldier title spinning out of his extended run on the title.
Captain America #6 will be released on December 7.