Henry did not to return to his home at the castle following an afternoon display for visitors on Saturday.
The castle said it was not uncommon for young birds of prey to spread their wings and fly off for a few days, but the public is being asked to remain eagle-eyed.
However, people should not approach Henry, who is about a year old with a 6ft wing span.
The eagle is not a danger to the public but for his safety, handlers have asked people to report any sightings to the castle.
More updates on this and other stories in Warwickshire
Henry is described as brown but does not yet have his full adult feathers and was last seen with a bell on his tail and wearing jesses - thin straps, usually leather, used to tether birds.
"Our guests enjoy two birds of prey displays each day which can involve up to six birds being in the air at one time," the spokesman said.
"Sometimes, the birds will decide to explore the local countryside for a while before returning to their home at the castle.
Stanley, a white tailed sea eagle went missing during a show at the tourist attraction in 2012.
But despite sightings and attempts to recapture him he has not since returned.
A bald eagle has escaped after a display at Warwick Castle.