Answer:
The mountain ranges in Hesse (German: Hessen) are collectively known as the Mittelgebirge (Central Uplands). These mountain ranges are Rhön, Taunus, Rothaargebige, Vogelsberg, Hoher Meißner, Kellerwald, Westerwald, Söhre, Kaufunger Wald, Knüllgebirge, Habichtswald, Gladenbacher Bergland, Odenwald, Stölzinger Gebirge, Spessart, Schlierbachswald, Seulingswald, Richelsdorfer Gebirge and Reinhardswald.
The 5 highest mountains in Hesse are:
Wasserkuppe, Rhön: 950.2 m
Großer Feldberg, Taunus: 881.5 m
Langenberg, Rothaargebirge: 843.1 m
Taufstein, Vogelsberg: 773 m
Kasseler Kuppe, Hoher Meißner: 753.6 m
For a full list of mountains in Hesse, see the related link.