Kyle, 57, said it was "an honour and a privilege" to take the helm on the programme.
"He is the pre-eminent broadcaster of his generation," he said of Morgan, then joked: "At least that’s what he told me to say."
He went on: "I’m looking forward to keeping his audiences in the UK, US, Australia and beyond informed, entertained and engaged with the best guests, the most challenging interviews and plenty of fun.”
Morgan is taking some time out for a break and to film a new series of his true crime documentaries.
He teased: “I can imagine no finer broadcaster to keep my seat warm. Well, I can, but they weren’t available. I’m sure he’ll do his best.”
The Jeremy Kyle Show was cancelled in May 2019 after guest Steve Dymond died days after failing a lie detector test filmed for the reality programme.
Dymond, who was 63, is believed to have taken his own life but a full inquest into his death has yet to take place.
Kyle was off screen after his show was axed but earlier this year it was announced that he would be among the new line-up of TV stars on TalkTV, alongside Morgan and Sharon Osbourne.
Morgan launched his show in April after quitting his previous position on Good Morning Britain amid the Meghan Markle row.
Reflecting on how it had gone as he prepared for his holiday, he tweeted images of headlines triggered by the programme.
That’s it for me on @PiersUncensored for the summer. We’ve had a cracking first 56 shows, that started & ended with massive global scoops. Thanks to my brilliant team for all their hard work. I’m off to relax by grilling serial killers in American prisons. Back on air Sept5. pic.twitter.com/44VdofMtkS
— Piers Morgan (@piersmorgan) July 29, 2022
"That’s it for me on @PiersUncensored for the summer," he wrote.
"We’ve had a cracking first 56 shows, that started & ended with massive global scoops. Thanks to my brilliant team for all their hard work. I’m off to relax by grilling serial killers in American prisons."
Kyle takes the reins on Piers Morgan Uncensored from 1 August and will host the show - which is broadcast on TalkTV in the UK, Fox Nation in the US and on Sky News Australia - for five weeks.
Morgan will return on 5 September.
For confidential emotional support at times of distress, contact The Samaritans at any time by calling 116 123 or emailing firstname.lastname@example.org.