A bench of Chief Justice G Rohini and Justice Jayant Nath fixed the matter for hearing on July 29, saying since there is "no urgency in the matter, we will take up the issue later".
The petitioner moved the court after she in her village in west Delhi saw poor condition of the area and later on also came to know that there was no councillor to look after the civic issues.
She also contended that as per the RTI reply she received from the department concerned there are over 10 posts of councillor are vacant.
"There are a number of casual vacancies in councillorship in all three MCD and most of them are lying vacant since December 20, 2013, and the people of these wards where casual vacancies exist, are suffering in the absence of councillors/elected representatives," the petition filed by Sanjana Gehlot said.