Meghan has been estranged from her dad Thomas Markle ever since he colluded with paparazzi photographers to stage pictures of himself before her wedding to Prince Harry, 34, in May but Thomas says Harry has behaved badly in the past and he has begged Meghan, 37, to get in touch.
He told the Mail On Sunday: "I've pleaded with her to pick up the phone. I wrote her a two-page letter and sent it by certified mail via her representative in Los Angeles. I asked her why she was believing the lies. I also pointed out the Royals haven't always been perfectly behaved. I wrote that I've never dressed up as a Nazi. [references to Harry's Las Vegas antics in 2012 and when he wore an imitation of a Nazi uniform in 2005]. I even hand-delivered a letter to Meghan's mother Doria asking her why our daughter won't speak to me."
Thomas, 74, also revealed that Harry lambasted him on the phone after it was revealed that his paparazzi photographs were staged.
He said: "I said sorry to Harry on the phone and all he said was, 'If you'd listened to me, none of this would have happened'.
"I did a few things wrong, said a few things I should not have said. But some of the Royals have done far worse things... There are convicts in prisons who have murdered and committed all kinds of horrible crimes, and their daughters still visit them."
Thomas still hopes he can reconcile with his daughter, who is currently pregnant with her first child.
He said: "Meghan and I never had any problems before this. If she would just speak to me, things could be different. I love Meghan very much. I want her and Harry to have a beautiful, healthy baby and a great life. But I want them to stop believing the lies."