Speaking to celebrity website, TMZ, he said: “My baby looks beautiful and she looks very happy.
“I wish I were there and I wish them all my love and all happiness.”
He said the ceremony was “emotional and joyful” as he watched from the west coast.
Mr Markle pulled out of the wedding voicing concerns he would embarrass his daughter or the royal family in the wake of a scandal involving photographs allegedly posed for a paparazzi.
He then said he would attend but was struck down by ill health, undergoing surgery a week after suffering a heart attack.
In his absence Meghan was met halfway down the aisle by Prince Charles who accompanied her to the altar.
Meghan's father also told TMZ that he texted heron the day to tell her that he loves her. Thomas revealed he watched the ceremony on TV from his bed, where he's recuperating from heart surgery.
"Now I pray that Harry and Meghan can go on a nice honeymoon and rest and relax, and all of my relatives will just shut up about everything."