Shelter chief executive Polly Neate said landlords should “clean up their act” and treat renters equally.
She added: “We won’t stop fighting DSS discrimination until it’s banished for good.
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“OpenRent should ban landlords from advertising their properties as ‘DSS not accepted’ – and remind them of their legal duty not to discriminate.”
The website said it encouraged landlords and estate agents to review tenant applications “on their own merits”.
Up to 63 per cent of private landlords previously said they do not or prefer not to let to people on housing benefits, a so-called no DSS policy which Shelter said has stopped hundreds of thousands of people from getting homes they could afford.
The practice disproportionately affects women, who are one-and-a-half times more likely to receive LHA than men, and disabled people, who are three times more likely to need it than non-disabled people.
Writing in The Big Issue earlier this month, Rose Arnall – the Shelter lawyer who won the landmark case – said: “It is easy to see how people repeatedly turned away because they receive benefits are ending up on the brink of homelessness with nowhere to turn.
“Overstretched councils are already buckling under homelessness applications from people who cannot afford private rentals. It’s senseless that people experiencing DSS discrimination are adding to their numbers and becoming homeless – when they can afford to pay private rents.
She added: “Sadly, proving something is illegal doesn’t immediately end its practice.”
Previously, some property websites like Zoopla and RightMove scrapped ‘no DSS’ adverts from their listings and prohibited them in their terms and conditions.
