The lesbian couple whose application to have their Canadian marriage recognised by Ireland was rejected by the High Court have said they intend to appeal the decision to the Supreme Court.

The High Court was hearing applications today by both sides in relation to the costs of the legal proceedings so far.

Dr Katherine Zappone and Dr Ann Louise Gilligan said it was in their own interest and in the public interest to have this case clarified in the supreme court of the land.

Ms Justice Elizabeth Dunne rejected an application on behalf of the two women to have their costs paid by the State due to the issues of profound constitutional importance raised by the case.

However, lawyers for the State indicated they would not be pursuing the two women for costs and the High Court's ruling means both sides will have to pay their own costs.