Eastern and southern borders of the neighborhood are marked by a series of hills: Torlak, Golo Brdo, Stražarska Kosa, and the Kumodraž area is a source of many other creeks apart from the one that gave its name to the neighborhood: Rakovički potok (flows through the neighborhoods of Selo Rakovica and Rakovica), Lipica (Jajinci), Zavojnička reka (a tributary to the Bolečica river), Bubanj potok (flows through Bubanj Potok, also a tributary to the Bolečica), Kamena voda, etc.

To the north, Kumodraž is bordered by the neighborhood of Voždovac, to the north-west by Veliki Mokri Lug and to the east by Jajinci.

Both Mokri Lug and Kumodraž are hills, so the natural inclination allowed for the water to flow downhill to Singidunum.

[5] During the pre-World War I period, Kumodraž had its own municipality which stretched north to the eastern outskirts of Belgrade, comprising outer city suburbs, today neighborhoods, like Dušanovac.

In the 1970s Kumodraž was administratively declared a local community ("mesna zajednica") within the municipality of Voždovac (part of the Belgrade City proper, uža teritorija grada), rather than being a separate settlement.

In addition, the main street in Kumodraž is named Vojvode Stepe (though it begins much closer to downtown, at Autokomanda).

Next to it is a small cemetery which hosts the memorial to the Serbian soldiers killed during the short Austro-Hungarian occupation of Belgrade in the late 1914, within the scopes of the World War I.

Serbian government later adapted it into the gendarmerie post while in World War I it was turned into the mayhane and then into the military hospital.

It was named after the 308 meters-high hill of Torlak, which was very important in the military operations for the defense of Belgrade in World War I.