A man who allegedly went on the run after he escaped police custody while in handcuffs overnight in South Australia has been found.

Police will allege the man was under guard at Murrary Bridge Hospital, east of Adelaide, when he escaped just before 6.30pm yesterday.

Police said he was handcuffed to the front.

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A search was launched in the Murray Bridge earlier, with police saying they had arrested him shortly after 11am (ACDT).

Police thanked the public for their assistance.