The 25-year-old travelled to the USA last week for treatment on the problem, which has ruled him out for the rest of the season.
But after the operation in New York, Sturridge was keen to focus on the future and getting himself back in action.
Sturridge has had a frustrating season with injuries
"Just want to let the world know I've had a successful operation on my hip today and I want to thank God for allowing that to be possible," Sturridge wrote on Instagram.
"Onwards and upwards from here. Thanks for the support."
He added on Twitter: "Today was a big day for me...thank you Jesus. Hip operation was successful. Road to recovery starts today!"
It was the second time the former Chelsea and Manchester City player has been Stateside this season, after previously having treatment on thigh and calf injuries last December.
That brought a five-month absence to an end, but after returning to action in late January his last appearance for Brendan Rodgers’ side came in their FA Cup Sixth Round replay win at Blackburn Rovers in April.
Sturridge will now return to England, where he will begin a programme of recovery and rehabilitation.
