The park comprises some of the last remaining sections of the primordial forest of Central Europe, especially spectacular stand of ancient beech trees (Bukowa Gora).
It also is a rail junction, located along the Rejowiec Fabryczny - Hrebenne - Munina connection, with a branch line going westwards, to Stalowa Wola, via Biłgoraj.
One of the features here is an artificial lake with a number of small islands - one of them contains monuments of the hounds belonging to the Polish Queen Marysieńka Sobieska (primo voto Zamoyska).
During the occupation of Poland in World War Two, Nazi Germans set up a transit camp in Zwierzyniec for the province-wide Action Zamość.
[3] On 2 February 1944, the Germans carried out a public execution of 20 Poles in Zwierzyniec, in retaliation for the death of a 19-year-old Volksdeutsch who denounced several local young people to the occupiers.