A bench of justices Aftab Alam and R M Lodhat tagged the petitions to the main case.
The latest petitions have been filed by Akhil Bhartiya Shri Ram Janmabhoomi Samiti and one Farooq Ahmed challenging the high court judgement, which the apex court had dubbed as "strange" as none of the parties had demanded partition of the land.
The Sunni Waqf Board, which opposed the plea, saying it was not a party before the Lucknow bench of the Allahabad High Court that had pronounced the Ayodhya verdict.
The bench has agreed to keep open the objection raised by the Sunni Waqf Board and consider it at the time of hearing.
Supreme Court on May 9 had dubbed as "strange" the high court's verdict of three-way division of the disputed Ram Janmabhoomi-Babri Masjid site in Ayodhya and had stayed its operation saying none of the parties had demanded partition of the land.
"A new dimension was given by the high court as the decree of partition was not sought by the parties. It was not prayed by anyone. It has to be stayed. It's a strange order," the bench had observed.
Earlier, Delhi MLA Shoaib Iqbal had also filed the appeal in the Supreme Court which refused to entertain it, saying the petition "is misconceived. Hence dismissed."