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Vierwaldstätter See
von der Reuss durchflossener und von den vier "Waldstätten" (Kantonen) Uri, Schwyz, Unterwalden und Luzern umgebener mittelschweizerischer See, 434.m ü. M., 114 km2, bis 214 m tief, von der Einmündung bis zum Ausfluss der Reuss 38 km lang, viel verzweigt und in mehrere Becken gegliedert

Merriam-Webster's Geographical Dictionary:
Lucerne, Lake of or Lake of the Four Forest Cantons or Ger. Vierwaldstätter See/ Lake in cen, Switzerland, eclosed by Schwyz, Uri, Unterwalden, and Lucerne cantons; 24 mi. (39 km) long and bet. 0.5mi. (0.8 km) and 2 mi (3 km.) wide; 44 sq mi. (114 sq km.); max. depth of 702 ft. (214 m).

Encyclopedia Britannica:
Lucerne, Lake
also called Lake Of Lucerne, or Lake Of The Four Cantons, German Vierwaldstätter See, French Lac Lucerne, or Lac Des Quatre Cantons, principal lake of central Switzerland, surrounded by the cantons of Lucerne, Nidwalden, Uri, and Schwyz. The lake is named after the city of Lucerne, which lies at its western end. The lake is most beautifully situated between steep limestone mountains, the best-known being the Rigi (north) and Pilatus (west), at an elevation of 1,424 feet (434 m). The lake's area is 44 square miles (114 square km); it is about 24 miles (39 km) long, with a maximum width of 2 miles (3 km) and a maximum depth of 702 feet (214 m).

Restliche Belege.

Almost without exception, Swiss lakes should be translated as "Lake xxx", not "Lake of xxx"

what about "Four Forests Cities Lake" ???

@Sambista: Could you cite a reference, please? I gave both variants because the references I cited (including the monolingual English references) are split pretty exactly 50/50 between "Lake of Lucerne" and "Lake Lucerne".