The paper is a description of the turbulence in fluids as a consequence of the inherent discontinuity of matter. The first part gives an introduction to the turbulence in fluids. Starting from the classical \textit{S. Chandrasekhar}'s theory [Proc. R. Soc. Lond., Ser. A 204, 435--449 (1951)], the author describes the turbulence motion as a hierarchy of eddies of different sizes. The author also explains the transfer of turbulent energy from the largest eddies to the smallest ones for which the viscosity plays an important role, dissipating the energy into thermal energy. In the second part the author obtains a model given by a deterministic differential equation which implies one of the main observational features of turbulence -- the transfer of energy between the eddies. Starting with the description of matter density as a discontinuous Dirichlet integral function \[ \rho(x,t)={1\over \pi} \sum_k \int{\sin(x_k t)\over t} e^{it(x+ k)}\,dt \] (\(k\) -- the central position of real matter structures, \(x_k\) -- the size of these structures) and by using the Euler equation for matter conservation, the author derives a differential equation which implies a transfer of velocity from a large eddy to a smaller one. The expression for the final turbulent velocity with external sinusoidal force applied to the system is given by \[ v_x= -\sum_k {\sin(x_k t)\over it^2} e^{it(x+ k)}+ h_1\sin(t(x- k))+\text{const}, \] if \(-x_k\leq x +k\leq x_k\), with \(h_1\) being some normalization constant. Some conclusions are presented in the last part of the paper.