Castle Hill stands on the western bank of the Chain Bridge (Széchenyi lánchíd), opened in 1849, and – amazingly – the first permanent bridge between Buda and Pest. From Clark Ádám tér on the Buda side, you can reach Castle Hill on the dinky nineteenth-century funicular or Sikló, or simply walk the winding, leafy path up from Clark Ádám tér.