Speaking to Good Morning Britain, the 77-year-old said lawyers had advised him he could take the couple to court to force them to give him access to Archie, two, and four-month-old Lilibet.
But he said he did not want to make the children “pawns in a game”.
Asked if he is worried about never being able to meet them, Mr Markle said: “I’m very concerned about that, I’d really love to see my grandchildren.
“People have suggested in California that I sue to see my kids and I think if I did that I’d be a hypocrite.
“I’d be doing the same thing as Meghan and Harry are doing.
Denne historien er fra October 19, 2021-utgaven av Evening Standard.
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Denne historien er fra October 19, 2021-utgaven av Evening Standard.
Start din 7-dagers gratis prøveperiode på Magzter GOLD for å få tilgang til tusenvis av utvalgte premiumhistorier og 9000+ magasiner og aviser.
Allerede abonnent? Logg på
Why are England wasting time waiting for Tuchel?
Winning the World Cup is the aim, so the new boss should start now
He's been shot, and punched by Mike Tyson, but British boxing's great survivor is back on top and aiming to rule the world
This is where the magic happens,\" reads a big neon sign scrawled across the entrance to the offices of arguably the most powerful man in British boxing today.
How Sketch went from 'obscene' to era-defining
After arocky start, the glamorous and infamous restaurant is now an institution
Money is worth less than time'
He's quit Fendi, but what will Kim Jones do next?
London's Roman Amphitheatre
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Liberals didn't notice they'd lost relevance in the all-consuming digital sphere
There are many reasons why Donald Trump might have won the election last week.
Do we have to die?
One neuroscientist thinks the answer is no
How to have a magical Christmas in Edinburgh
From cosy cobblestone streets to abundant Yuletide goings-on, few cities rival the Scottish capital in creating Christmas whimsy.
London's best festive restaurants
The social season is upon us once more. These are the city’s most coveted Christmas venues, which need to be booked soon so as to not miss out on the tinsel and tipples.
Rag'n'Bone Man
I struggle with being recognised... I'll never really feel comfortable with it'
