The special danger to water objects is represented not by substances, peculiar to a nature, of an anthropogenesis origin, which transformation owing to natural processes appears impossible. It is substances, renders negative physiological influence on biota. The characteristic representatives of this group of substances are the heavy metals. In essence all heavy metals are priority pollutant and indicators of a condition of natural waters. On the basis of the tax and the generalizations of results of laboratory Azerbaijan, given a hydrometeorological service, for the period 1980-2000 years and Institute of Radiation Problems for 2001-2004 years are designed long-term average and maximal concentration of the contents of heavy metals in river waters. The analysis of the data shows, that almost all rivers are polluted with heavy metals up to entrance them in territory of Azerbaijan, and also their additional pollution in territory of Azerbaijan is observed. Even the average concentration copper, zinc, manganese, molybdenum are higher extreme allowable norm (EAN), the maximal concentration of the contents of these elements on occasion at 10-20 of time exceeds EAN. The long-term course of concentration of heavy metals in river water shows, that since second half 1980 years is observed decrease of their concentration in river water and some increase per second half 1990 years. By these data, after 1998 the increase of their concentration in river waters is observed. The hen long-term trend is not observed, and in the main inflow on Araks river is observed the tendencies of reduction. It once again proves that the pool of the Araks river is more subject to anthropogenous influence in comparison with Kura river. In connection with fall from industrial manufacture from the end 1980 years are accordingly observed relative reduction pollutant in river water. The analysis of the long-term data on all items of monitoring rivers, located on length, allow in the certain measure to estimate changes pollutant on length of the rivers. However at processing and analysis of the data we collided with numerous uncertainties, which are caused not by the account of spatial and temporary features of a hydrological mode of the rivers, and also not by observance of a technique of realization monitoring work etc. For elimination existing uncertainties within the framework of the Scientific Program of NATO in a name of the world during 2003-2005 years is spent synchronous monitoring works on all of pool Kura river. Researches to be spent according to the international standards and modern equipments, acquired at the expense of the project. A Field and laboratory research except for standard definitions covers the basic spectrum of heavy metals. In the report the basic situations and results of the carried out researches will be submitted.