Barbados's National Task Force on Reparations is considering legal action against Benedict Cumberbatch's family for reparations.
The task force previously targeted colonial powers and institutions that profited from slavery.
The force also targeted British MP Richard Drax's family for the first time over their sugar plantation ownership.
Drax and other families may face litigation if they do not agree to pay reparations.
Cumberbatch's ancestors owned a plantation with 250 slaves until slavery was abolished in 1834.
The actor's family made a fortune from the plantation and received £6,000 ($1m in today's money) from the British government after slavery was abolished.
Cumberbatch has portrayed slave owners in films and publicly discussed his family's slave-owning history.
Benedict Cumberbatch's mother advised him to avoid using the family's last name professionally to avoid a reparations campaign.