Dubí hora was made a Natural Monument in 1966; it has an area of 0.089 hectares, and is 360 m above sea level.

Originally this was a stone quarry on the front of lava flow, with a column to loaf tephrite decay. Endangered plants can be found around Dubí hora - burnt orchid and rock cinquefoil. Dubí hora is also known as Konojedské bochníky (loaves) due to the shape of the rock.

There is no colour-marked tourist track leading to the monument, but you can follow signposts from Konojedy to Dubí hora.