official site for visitors to Bratislava  

Behind the Presidential Palace (Grassalkovich Palace) on Hodžovo Square is a handsome park (originally the gardens of the palace) with old trees and lawns. It was originally created as a French formal garden and still offers a quiet space away from the bustle of the city. It contains a statue of the Empress Maria Theresa on horseback, the Fountain of Youth by prominent Slovak sculptor Tibor Bártfay, and avant-garde statues by contemporary artists. Dogs and bicycles are not allowed, so it's a safe place to let kids run loose (there is also a small playground). Access via Štefanikova or Banskobrystrická Streets, opening hours - dawn till dusk, year-round.