Here, applying the Scale-Symmetric Theory (SST), we described composition and calculated masses of the Upsilon mesons. This follows from the atom-like structure of baryons. Applying the modified quantum chromodynamics, within the SST, we can calculate the masses of quarks. This leads to conclusion that SST is the superior theory to the Standard Model in initial conditions. Calculated mass of b quark is 4190 MeV. Here, we showed that the Type 1S Upsilon meson is both a structure containing b-b(anti) quark pair (theoretical mass of such structure is 9460.1 MeV), or mesonic nucleus (theoretical mass of such nucleus is 9465.1 MeV). Due to the oscillations between these two different structures having practically the same mass and spin and parity, the full width of the Type 1S Upsilon meson is very small. Calculated masses of Types 1S, 2S, 3S, 4S, 10860 and 11020 Upsilon mesons are very close to experimental data. They all have unitary spin and negative parity.