Motivated by the Kaluza-Klein theory with large extra spacetime dimensions the neutrino star built from the massive sterile neutrinos core and the massless brane neutrinos envelope is presented .
The six-dimensional compactification scale \sim 15 MeV gives maximal neutrino mass M _ { max } = 2.3 \times 10 ^ { 4 } M _ { \odot } with radius R _ { max } = 1.2 \times 10 ^ { 6 } km .
The maximal neutrino star parameters varies with temperature .
In the limit of the neutrino ball approximation the maximal sterile neutrino star is M _ { max } = 1.1 \times 10 ^ { 6 } M _ { \odot } .