In his first television interview since the royal family announced Meghan Markle and Prince Harry were expecting their first child, Mr Markle told ITV's Good Morning Britain that he has been texting her "every day" but has not received any response.
Speaking from San Diego, he said: "I have been ghosted. I am very disappointed by it. I am not sure why it is happening. I [have] been reaching out. I have been trying to reach out for several weeks.
"Every day [I] send a text, I just haven't got anything back. I just keep asking for her to respond back to me and I haven't got any response back. I have sent letters."
Mr Markle, 74, revealed the Duchess' mother, Doria Ragland has cut ties with him too.
He has never met Prince Harry, and expressed concerns he would never meet his grandchild either.
The grandfather-to-be said he would appreciate anything the Queen could do to help: "I would think that she would want to resolve family problems. All families, royal or otherwise, are the same, and they should all be together certainly around the holidays."
Read more: Here's everything we know about Meghan Markle's dad, who's making drama for the royal family
Mr Markle was invited to his daughter's wedding to Prince Harry, but was unable to attend due to health complications. However, he said he has not spoken to the Duchess since.
But Mr Markle says all he wants is a response from the Duchess: "I love you very much, you're my daughter and I'd really like to hear from you."
You can see a clip from the interview below:
"Whatever differences or problems we have we should be able to work them out, we're family," he continued. "Please reach out to me."
Mr Markle explained that he was confused by his daughter's behaviour, revealing that it's not in her character to cut people out of her life if she has no use for them.
"She's always been very polite to everyone, never been rude to anyone," he said. "I don't know what's really happening right now.
"She's always been a very controlling person and that's part of her nature but she's never been rude. The ghosting I don't completely understand shes always been in charge, that's her nature, but not been rude."
Visibly upset, Mr Markle said: "There has to be a place for me, I'm her father. I will be the grandfather to the children.
"All I can say is that I'm here, she knows it, and I've reached out to her and I need her to reach back to me. I love her very much."
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