For multiphase, turbulent, reacting flow, Reynolds averaged transport equations contain many correlation terms which include the terms containing both density fluctuation ρ' and void fraction fluctuation α'. The modeling of these correlation terms is very difficult. Although the Favre averaging (also called mass-weighted averaging) method yields fewer correlation terms, the modeling of those correlation terms is still a very difficult task. The main purpose of this paper is to present a new averaging technique for the transport governing equations of turbulent, multiphase and reacting flows. It allows for density fluctuations and void fraction fluctuations in the averaging process. It yields fewer correlation terms than the Reynolds and Favre averaging techniques. From a mathematical point of view, introducing the new averaging method makes the transport equations much simpler. Less modeling is needed, which could leads to more accurate predictions at the end after the closure of correlations is obtained properly. From the experimental point of view, the new averaged value is still mass-weighted over a certain time interval that is measured by a sampling probe which is characterized by ραø, and therefore more realistic than ρø used in Favre averaging or ø in Reynolds averaging method. Based on the new averaging technique, a sample problem is calculated with the modified TEACH code for the turbulent two-phase upwardly directed free jet (an n-pentane spray flame). The predicted results are compared with experimental data and those by LHF (Locally Homogeneous Flow) model and Reynolds averaged TFM (Two-Fluid Model). The results show the superiority of the new averaging method over currently available techniques.