Pressure group Animal Defenders International (ADI) is arguing that the ban breaches article 10 of the European Convention on Human Rights, which is intended to safeguard freedom of expression.
ADI is being supported by Amnesty International and the RSPCA, both of which will present evidence on the ban.
'BP is allowed to advertise its green credentials on TV but environmental organisations cannot criticise the oil industry for its role in climate change in the same media,' said Tamsin Allen of Bindman & Partners, which is representing ADI.
ADI launched the case after its 'My mate's a primate' ad campaign was rejected by the Broadcast Advertising Clearance Centre. If successful, the case will open a major revenue source for media owners as lobbyists take to the airwaves.