The paper presents an approach to construction of turbulence models that allows modeling of the fluctuating component in the form of the sum of an infinite number of random quantities. The first part of the paper deals with the technique of construction of the k-epsilon type model. In the second part of the paper, construction of the model of transfer of turbulent stresses and heat fluxes is considered. It is shown that the technique does not depend on the choice of the dissipative variable. (C) 2009 Elsevier Ltd. All rights reserved.