On Monday evening's News at Ten, two video clips were played as presenter Huw Edwards announced the Indian actor had died aged 79.
But neither of the men shown were Kapoor - one was his nephew Rishi and the other was actor Amitabh Bachchan.
The programme's editor Paul Royall apologised on Twitter for the mistake shortly after the bulletin aired.
"#BBCNewsTen is very sorry wrong images were used to mark the death of Shashi Kapoor. Not our usual standards and I apologise for any upset," he tweeted.
"The piece did not meet its usual standards and the programme has apologised for any upset.
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