"The ruling has been postponed to 2 PM on Tuesday," Neringa Lukoševičienė, spokeswoman for the court, told BNS.
The ruling will be final and biding.
The court held a written non-public hearing.
The court noted earlier that the dispute "concerns the freedom of association which is one of the fundamentals of a democratic society."
The appeal was lodged by Vilnius authorities. They disagreed with the ruling of a court of lower instance, having ordered them to allow the LGBT event through central Gedimino Avenue.
Vilnius Municipality suggests holding the LGBT pride march on Upės Street a bit further from Vilnius center. The organizers, however, want to march through Gedimino Avenue.
The organizers maintain that the march, which is held in many Western countries, is important in raising public awareness about discrimination against LGBT people and promoting equality. Meanwhile some critics in Lithuania say it "promotes homosexuality."
The first gay pride parade in Lithuania took place in 2010, which was also preceded by court hearings on the march location and permission to hold it. The march itself took place eventually, with several hundred people marching through a heavily-guarded territory in the presence of around a thousand protesters.
