The petition seeks the court's permission for worshipping the idols of the Hindu deities located on an outer wall of the mosque on a daily basis.
The Hindu side had claimed in the lower court that a Shivling was found during the videographic survey.
The plea also sought carbon dating of the 'Shivling' to ascertain its age.
The Allahabad high court on Thursday allowed the Archaeological Survey of India (ASI) to conduct a scientific survey at the Gyanvapi premises in Varanasi to determine whether the 17th-century mosque has been constructed over a pre-existing structure of a Hindu temple.
The Supreme Court on Monday agreed to hear a plea on a dispute involving the Gyanvapi mosque in Varanasi on November 10.
Singh said the court also gave a week's time to both Hindu and Muslim sides to file objections to the report of a court-mandated videography survey of the Gyanvapi mosque premises.
The Delhi high court on Friday refused to grant interim protection from arrest to the president of the Hindu Raksha Dal, Bhupinder Tomar, who is accused of raising communal slogans and inciting youth to propagate against a particular religion at a rally at Jantar Mantar on August 8.
It also directed the Hindu parties to file their replies within three weeks on the appeal filed by the management committee of the Anjuman Intezamia Masjid challenging the Allahabad High Court order on the appointment of a survey commissioner.
Two Hindu organisations, Hindu Sena and Hindu Front for Justice, have moved the Supreme Court seeking to intervene as parties in a pending plea in which notices have been issued to the Centre and others on allegations of hate speeches made against the Muslim community at Haridwar and New Delhi.
The move was "per se illegal for violating the concept of freedom of speech and expression enumerated in Article 19(1)(a) of the Constitution and the right to freedom of religion guaranteed under Article 25 of the Constitution", it said.
The Places of Worship Act is 'An Act to prohibit conversion of any place of worship and to provide for the maintenance of the religious character of any place of worship as it existed on the 15th day of August 1947, and for matters connected therewith or incidental thereto'.
District Judge AK Vishvesha turned down the Hindu petitioners' plea seeking scientific investigation and carbon dating of the 'shivling', citing Supreme Court directives for its safe keeping so that no tampering can be done.
The bench said what is worrying the court is the complexity of trial as there are over 250 witnesses in the case and the co-accused government officials have been granted bail for want of sanction for prosecution.
A commission appointed by a court in Varanasi to conduct a videographic survey of the Kashi Vishwanath temple-Gyanvapi Mosque complex submitted its report on Thursday, an advocate said.
In a democratic set up, a demand for "Hindu rashtra" does not amount to promoting enmity between religious groups, an accused in a case of allegedly communal sloganeering at an event at Jantar Mantar here argued before the Delhi High Court on Wednesday.
Hindu women plaintiffs who have filed a civil suit before the Varanasi court seeking declaration and asserting the right to darshan and worship Hindu deities whose idols are located on an outer wall of the Gyanvapi mosque in Varanasi has referred to stand taken by the British government in a 1936 suit seeking it to be declared as Waqf property.
A public interest litigation has been filed in the Supreme Court questioning the sacrifice of animals on Bakr-Eid and the validity of a provision of the Prevention of Cruelty to Animals Act, saying the practice was "cruel, inhuman, barbarian" and cannot be protected in the name of religion.
A bench of Justices Vineet Saran and Dinesh Maheshwari issued notice to the Centre, West Bengal and Election Commission of India on the plea, which also sought to central and state governments to award compensation to the victims and their family members after ascertaining the nature of loss sustained by them in post-poll violence in the state.
A bench of Justices D Y Chandrachud, Indu Malhotra and K M Joseph was informed by Solicitor General Tushar Mehta that Sudarshan TV has to give reply to the show cause notice by September 28, failing which an ex parte decision will be taken.
While, Mahasabha plea seeks 'limited review' of the verdict, another review plea has been filed by activists.