Speaking about the moment when he told the couple he would not make the wedding, the 73-year-old said: "They were disappointed". Prince Harry immediately sprang to action and helped steady her.
'I absolutely wanted to walk my daughter down the aisle, ' said Mr Markle, who did not travel to Windsor for the wedding due to health reasons.
Prince Charles walked Meghan Markle down the aisle.
"They were disappointed. Meghan cried, I'm sure, she did cry, and they both said, "Take care of yourself, we are really anxious about you", he said.
Speaking about why he initially thought it was a good idea, Thomas told GMB's Piers Morgan and Susanna Reid: "This was a presentation to me, to change my image because in the a year ago photographs of me were always derogatory, so I thought this would be a nice way of improving my look".
In the run-up to the wedding Mr Markle became embroiled in a controversy over reports he had staged paparazzi photos of himself in wedding-related activities, such as being measured for a new suit.
He told GMB he had apologised to both Harry and Meghan, adding: "I realised it was a serious mistake".
"It was incredible watching her", he said. I was very happy about that.
"I was complaining about not liking Donald Trump, he said "give Donald Trump a chance".
Seeminlgy unfazed by his daughter marrying into the royal family, Mr Markle said his daughter had "been a princess since the day she was born", adding: "He made a good pick, didn't he?".
"I sort of disagreed with that".
"I don't think I'll call her Duchess, I don't have to because she's my daughter".
When asked about details of the Brexit conversation, he said: "It was just a loose conversation..."
"I don't think the stork has hit the air soon but I think it will happen soon".