Mödling is the capital of the Austrian district of the same name located approximately 14 km south of Vienna. Mödling lies in Lower Austria's …Mödling is the capital of the Austrian district of the same name located approximately 14 km south of Vienna. Mödling lies in Lower Austria's industrial zone. The Mödlingbach, a brook which rises in the Vienna Woods, flows through the town. Near Achau it joins with the Schwechat. Woodland occupies a large part of the municipality, part of the Föhrenberge.